scholarly journals Identities for curvature tensors in generalized Finsler space

Filomat ◽  
2009 ◽  
Vol 23 (2) ◽  
pp. 34-42 ◽  
Author(s):  
Milan Zlatanovic ◽  
Svetislav Mincic
Keyword(s):  
Finsler Space ◽  
Cyclic Symmetry ◽  
Symmetric Connection ◽  
Two Indices ◽  
Curvature Tensors

In the some previous works we have obtained several curvature tensors in the generalized Finsler space GFN (the space with non-symmetric basic tensor and non-symmetric connection in Rund's sence). In this work we study identities for the mentioned tensors (the antisymmetriy with respect of two indices, the cyclic symmetry, the symmetry with respect of pairs of indices).

scholarly journals Projective Motion, Projective Curvature Collineation and Infinitesimal Projective Transformation in a Finsler Space Equipped with Semi-Symmetric Connection

2020 ◽  
pp. 315-325
Author(s):  
S. K. Tiwari ◽  
Ved Mani
Keyword(s):  
Finsler Space ◽  
Projective Transformation ◽  
Present Communication ◽  
Projective Curvature ◽  
Symmetric Connection

The present communication has been devoted to the study of projective motion, projective curvature collineation and infinitesimal projective transformation in a Finsler space equipped with semi-symmetric connection. In this communication we have derived results in the form of theorems which hold when the Finsler space under consideration admits both projective motion and projective curvature collineation and in this continuation, we have also derived the relationships which hold when the space under consideration admits a non-affine as well as an affine infinitesimal projective transformation.

scholarly journals New Cartan’s tensors and pseudotensors in a generalized Finsler space

Filomat ◽  
2014 ◽  
Vol 28 (1) ◽  
pp. 107-117
Author(s):  
Milica Cvetkovic ◽  
Milan Zlatanovic
Keyword(s):  
Covariant Derivative ◽  
Finsler Space ◽  
Differentiable Manifold ◽  
Curvature Tensors

In this work we defined a generalized Finsler space (GFN) as 2N-dimensional differentiable manifold with a non-symmetric basic tensor gij(x,x?), which applies that gij_?|m(x,x?)=0; ?=1,2. Based on non-symmetry of basic tensor, we obtained ten Ricci type identities, comparing to two kinds of covariant derivative of a tensor in Rund?s sense. There appear two new curvature tensors and fifteen magnitudes, we called ?curvature pseudotensors?.

scholarly journals On some properties of non-symmetric connections

Filomat ◽  
2015 ◽  
Vol 29 (3) ◽  
pp. 585-591
Author(s):  
Svetislav Mincic
Keyword(s):  
Covariant Derivative ◽  
Dimensional Manifold ◽  
Symmetric Connection ◽  
Curvature Tensors

On an N-dimensional manifold with non-symmetric connection Lijk four kinds of covariant derivative (1.1) are defined, and four curvature tensors are obtained. In the present paper specially the 3rd and the 4th kind of covariant derivative are studied, particularly their application on ?-symbols.

Hit and False-Alarm Rates of Selected ABR Indices in Differentiating Cochlear Disorders From Acoustic Tumors

1996 ◽  
Vol 5 (1) ◽  
pp. 90-96 ◽  
Author(s):  
Frank E. Musiek ◽  
Cynthia A. McCormick ◽  
Raymond M. Hurley
Keyword(s):  
False Alarm ◽  
Amplitude Ratio ◽  
High Specificity ◽  
Auditory Brainstem ◽  
Latency Difference ◽  
Cochlear Pathology ◽  
Brainstem Response ◽  
Absolute Latency ◽  
Two Indices ◽  
Low Sensitivity

We performed a retrospective study of 26 patients with acoustic tumors and 26 patients with otologically diagnosed cochlear pathology to determine the sensitivity (hit rate), specificity (false-alarm rate), and efficiency of six auditory brainstem response indices. In addition, a utility value was determined for each of these six indices. The I–V interwave interval, the interaural latency difference, and the absolute latency of wave V provided the highest hit rates, the best A’ values and good utility. The V/I amplitude ratio index provided high specificity but low sensitivity scores. In regard to sensitivity and specificity, using the combination of two indices provided little overall improvement over the best one-index measures.

Cosmological Consequences with Randers Conformal of Finsler space

2007 ◽  
Vol 3 (2) ◽  
pp. 203-211
Author(s):  
Arunesh Pandey ◽  
R K Mishra
Keyword(s):  
Background Radiation ◽  
Finsler Space ◽  
Space Time ◽  
Anisotropic Model ◽  
Microwave Background ◽  
Microwave Background Radiation

In this paper we study an anisotropic model of space – time with Finslerian metric. The observed anisotropy of the microwave background radiation is incorporated in the Finslerian metric of space time.

On submersions of the complex indicatrix

Filomat ◽  
2017 ◽  
Vol 31 (16) ◽  
pp. 5081-5092
Author(s):  
Elena Popovicia
Keyword(s):  
Fixed Point ◽  
Complex Projective Space ◽  
Finsler Space ◽  
Hermitian Manifold ◽  
Almost Hermitian Manifold ◽  
Codimension One ◽  
Real Submanifold ◽  
Fundamental Equations ◽  
Complex Projective ◽  
Extrinsic Sphere

In this paper we study the complex indicatrix associated to a complex Finsler space as an embedded CR - hypersurface of the holomorphic tangent bundle, considered in a fixed point. Following the study of CR - submanifolds of a K?hler manifold, there are investigated some properties of the complex indicatrix as a real submanifold of codimension one, using the submanifold formulae and the fundamental equations. As a result, the complex indicatrix is an extrinsic sphere of the holomorphic tangent space in each fibre of a complex Finsler bundle. Also, submersions from the complex indicatrix onto an almost Hermitian manifold and some properties that can occur on them are studied. As application, an explicit submersion onto the complex projective space is provided.

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