scholarly journals On Some Special Finsler Spaces

2020 ◽  
pp. 76-87
Author(s):  
Ankit Maurya ◽  
K.B. Gupta ◽  
Jitendra Singh
Keyword(s):  
Tensor Field ◽  
Finsler Space ◽  
Present Communication ◽  
Finsler Spaces ◽  
The Third

<p>The present communication has mainly been divided into four sections of which the first section is introductory, the second section deals with R - recurrent   of order one. In this section we have derived results telling as to when a  -  recurrent  of order one will be R  -  recurrent of order one,  -  recurrent  of order one will be a  -  recurrent of order one. In this section we have also derived the Bianchi’s identity and few more identities which hold in a R - recurrent   of order one. The third section deals with R - recurrent   of order two. In this section we have observed that the recurrence tensor field  is non-symmetric, few more relations and the Bianchi’s identity have been derived in a R - recurrent   of order two. In the fourth and the last section we have derived the conditions under which a Landsberg space in a - Finsler space, a  - Finsler space is semi - P2- like, a - Finsler space is a - Finsler space, a  – Finsler space is  P- symmetric, a  - Finsler space is P2 like</p>

ON THE GAUSS–BONNET FORMULA IN RIEMANN–FINSLER GEOMETRY

2002 ◽  
Vol 34 (3) ◽  
pp. 329-340 ◽  
Author(s):  
BRAD LACKEY
Keyword(s):  
Finsler Space ◽  
Finsler Geometry ◽  
Euler Class ◽  
Constant Volume ◽  
Finsler Spaces ◽  
Chern Connection ◽  
Civita Connection ◽  
Levi Civita Connection ◽  
Riemannian Case ◽  
Torsion Free

Using Chern's method of transgression, the Euler class of a compact orientable Riemann–Finsler space is represented by polynomials in the connection and curvature matrices of a torsion-free connection. When using the Chern connection (and hence the Christoffel–Levi–Civita connection in the Riemannian case), this result extends the Gauss–Bonnet formula of Bao and Chern to Finsler spaces whose indicatrices need not have constant volume.

scholarly journals The Β-Change by Finsler Metric of C-Reducible Finsler Spaces in Finsler Geometry

2019 ◽  
Vol 33 (1) ◽  
pp. 1-10
Author(s):  
Khageswar Mandal
Keyword(s):  
Finsler Space ◽  
Homogeneous Function ◽  
Finsler Geometry ◽  
Finsler Metric ◽  
Finsler Spaces

 This paper considered about the β-Change of Finsler metric L given by L*= f(L, β), where f is any positively homogeneous function of degree one in L and β and obtained the β-Change by Finsler metric of C-reducible Finsler spaces. Also further obtained the condition that a C-reducible Finsler space is transformed to a C-reducible Finsler space by a β-change of Finsler metric.

scholarly journals The thermal and electrical conductivity of a single crystal of aluminium

1927 ◽  
Vol 115 (770) ◽  
pp. 236-241 ◽  
Keyword(s):  
Electrical Conductivity ◽  
Single Crystals ◽  
Test Specimen ◽  
Average Diameter ◽  
National Physical Laboratory ◽  
Present Communication ◽  
Uniform Size ◽  
The Third ◽  
Physical Laboratory

The recent work of Carpenter and Elam on the growth of single crystals of large dimensions has rendered possible the study of the physical constants of single crystals of the commoner metals, and the present communication describes the determination of the thermal and electrical conductivity of aluminium in the form of an isolated crystal. The form of the crystal investigated is shown in fig. 1. This crystal had been prepared at the National Physical Laboratory employing the technique described by Carpenter in “Nature,” p. 266, August 21, 1926, which briefly is as follows:— The test specimen is machined and subjected to three treatments, thermal, mechanical, and thermal. The first treatment is necessary to soften the metal completely and produce new equiaxed crystals of so far as possible uniform size, the average diameter being 1/150 inch. The second consists in straining these crystals to the required amount, and the third in heating the strained crystals to the requisite temperature, so that the potentiality of growth conferred by strain could be brought fully into operation.

WEAKLY SYMMETRIC FINSLER SPACES

2010 ◽  
Vol 12 (02) ◽  
pp. 309-323 ◽  
Author(s):  
SHAOQIANG DENG ◽  
ZIXIN HOU
Keyword(s):  
Open Problem ◽  
Finsler Space ◽  
Finsler Metrics ◽  
Dimensional Sphere ◽  
Finsler Spaces ◽  
Geometrical Properties ◽  
3 Dimensional ◽  
Weakly Symmetric

In this paper, we introduce the notion of weakly symmetric Finsler spaces and study some geometrical properties of such spaces. In particular, we prove that each maximal geodesic in a weakly symmetric Finsler space is the orbit of a one-parameter subgroup of the full isometric group. This implies that each weakly symmetric Finsler space has vanishing S-curvature. As an application of these results, we prove that there exist reversible non-Berwaldian Finsler metrics on the 3-dimensional sphere with vanishing S-curvature. This solves an open problem raised by Z. Shen.

Etude du parasitisme des simulies (Diptera : Simuliidae) par des Mermithidae (Nematoda) en Afrique de l'ouest. IV : Description de Isomermis lairdi, n.sp., parasite de Simulium damnosum

1977 ◽  
Vol 55 (12) ◽  
pp. 2011-2017 ◽  
Author(s):  
B. Mondet ◽  
G. O. Poinar Jr. ◽  
J. Bernadou
Keyword(s):  
New Species ◽  
West Africa ◽  
Ivory Coast ◽  
Present Communication ◽  
Body Width ◽  
Spicule Length ◽  
The Third ◽  
Simulium Damnosum ◽  
Mermithid Nematode ◽  
A New Species

The present communication describes a new species of mermithid nematode, Isomermis lairdi, found parasitizing blackflies in the Ivory Coast, West Africa. This nematode is the most common mermithid parasite of Simulium damnosum Theobald and occurs in the larval, pupal, and adult stages of this blackfly in streams of various sizes. The diagnostic characters of the adults of I. lairdi are (1) terminal mouth. (2) strongly S-shaped vagina, (3) ratio of spicule length to anal body width (1.7–2.8), and (4) circular amphids and amphidial openings.The postparasitic juveniles of I. lairdi differ from those of I. tansaniensis Rubtsov, 1972, in having three or four rows of cells in the lateral cords and a longer tail appendage in the male.This is the third species of mermithid nematode described from blackflies (including Simulium damnosum) in West Africa, and the first of the genus.

scholarly journals V.—On Linnarsson's Recent Discoveries in Swedish Geology

1880 ◽  
Vol 7 (1) ◽  
pp. 29-37 ◽  
Author(s):  
Chas. Lapworth
Keyword(s):  
Geological Survey ◽  
Present Communication ◽  
The Third

In the present communication I propose to direct the attention of British Geologists to three most valuable memoirs recently published by Mr. G. Linnarsson, the eminent palæontologist of the Geological Survey of Sweden; and at the same time to point out, as briefly as may be, what appears to me to be their special bearing upon certain tentative or disputed points in British Geology. They treat of subjects of great interest to the student of the palæontogeology of the Lower Palæeozoic or Proterozoic Rocks; but are printed in the Swedish language, with which, unfortunately, few amongst us are familiar. The first two papers deal with the Graptolite-bearing rocks of Sweden; the third treats of the peculiar fauna of a recently-detected horizon in the prolific Paradoxidian or Primordial Zone.

scholarly journals Killing Vector Fields in Generalized Conformalβ-Change of Finsler Spaces

2015 ◽  
Vol 2015 ◽  
pp. 1-5
Author(s):  
Mallikarjun Yallappa Kumbar ◽  
Narasimhamurthy Senajji Kampalappa ◽  
Thippeswamy Komalobiah Rajanna ◽  
Kavyashree Ambale Rajegowda
Keyword(s):  
Vector Field ◽  
Vector Fields ◽  
Finsler Space ◽  
Killing Vector ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
Finsler Spaces ◽  
Killing Vector Fields ◽  
Necessary And Sufficient

We consider a Finsler space equipped with a Generalized Conformalβ-change of metric and study the Killing vector fields that correspond between the original Finsler space and the Finsler space equipped with Generalized Conformalβ-change of metric. We obtain necessary and sufficient condition for a vector field Killing in the original Finsler space to be Killing in the Finsler space equipped with Generalized Conformalβ-change of metric.

scholarly journals The theory of metallic corrosion in the light of quantitative measurements

1927 ◽  
Vol 116 (774) ◽  
pp. 425-467 ◽  
Keyword(s):  
Relative Importance ◽  
Improved Method ◽  
Salt Solutions ◽  
Present Communication ◽  
Technical Problems ◽  
The Third ◽  
Quantitative Measurements ◽  
Number Of Factors ◽  
Metallic Corrosion

The principal object of the present research is the discovery of a satisfactory way of measuring the corrosion of metals in water and dilute salt solutions, and the use of it to test the adequacy of the newer electrochemical theory of corrosion as applied to such media. The theory suggests that a large number of factors can influence the rate of corrosion, but does not indicate quantita­tively their relative importance in given conditions, in fact, the theory is based at present upon qualitative or only roughly quantitative measurements. It is desirable, therefore, that a determined attempt should be made to place it upon a sounder basis, on account, both of the inherent interest of the theory and of its importance in technical problems of steadily increasing insistence. The present communication is the first portion of an extensive research; it is divided into three sections, the first gives an outline of the theory as understood by the authors; the second, a brief review of the kind of measurement upon which it rests; the third an improved method of measuring corrosion as applied to the metal zinc, together with an interpretation of the results so far obtained.

Lode Dependences for Isotropic Pressure-Sensitive Elastoplastic Materials

1990 ◽  
Vol 57 (3) ◽  
pp. 498-506 ◽  
Author(s):  
J. P. Bardet
Keyword(s):  
Experimental Investigations ◽  
Present Communication ◽  
Modified Model ◽  
True Triaxial ◽  
The Third ◽  
Pressure Sensitive ◽  
Isotropic Pressure ◽  
Elastoplastic Materials ◽  
Lode Angle ◽  
Stress Invariant

Experimental investigations indicate that the third stress invariant; Lode angle α affects significantly the behavior of pressure sensitive materials. The present communication presents a formulation to account for α in isotropic pressure-sensitive elastoplastic materials. Seven Lode dependences are reviewed. A new one, referred to as LMN, in proposed to generalize Lade and Duncan, and Matsuoka and Nakai failure surfaces. The formulation is general enough to introduce α into the isotropic elastoplastic modes which are only developed in terms of first and second-stress invariants. As an illustration, several Lode dependences are introduced into Roscoe and Burland model. The performance of the modified model is estimated by comparing experimental and analytical results in the case of true triaxial loadings on normally consolidated clay.

Geodesic orbit Finsler spaces with K ≥ 0 and the (FP) condition

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Ming Xu
Keyword(s):  
Lie Algebra ◽  
Finsler Space ◽  
Finsler Manifold ◽  
Constant Speed ◽  
Flag Curvature ◽  
Finsler Metric ◽  
Coset Space ◽  
Finsler Spaces ◽  
Negatively Curved ◽  
Positively Curved

Abstract We study the interaction between the g.o. property and certain flag curvature conditions. A Finsler manifold is called g.o. if each constant speed geodesic is the orbit of a one-parameter subgroup. Besides the non-negatively curved condition, we also consider the condition (FP) for the flag curvature, i.e. in any flag we find a flag pole such that the flag curvature is positive. By our main theorem, if a g.o. Finsler space (M, F) has non-negative flag curvature and satisfies (FP), then M is compact. If M = G/H where G has a compact Lie algebra, then the rank inequality rk 𝔤 ≤ rk 𝔥+1 holds. As an application,we prove that any even-dimensional g.o. Finsler space which has non-negative flag curvature and satisfies (FP) is a smooth coset space admitting a positively curved homogeneous Riemannian or Finsler metric.

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