h-EXPONENTIAL CHANGE OF FINSLER METRIC

Cartan Connection ◽

Connection Coefficients ◽

Exponential Change

In this paper, we studied a Finsler space whose metric is given by an h-exponential change and obtain the Cartan connection coefficients for the change. We also find the necessary and sufficient condition for an h-exponential change of Finsler metric to be projective.

Killing Vector Fields in Generalized Conformalβ-Change of Finsler Spaces

Journal of Mathematics ◽

10.1155/2015/456291 ◽

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 ◽

Finsler Spaces ◽

Killing Vector Fields ◽

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.

TOTALLY GEODESIC SUBMANIFOLDS OF GL-MANIFOLDS

International Journal of Geometric Methods in Modern Physics ◽

10.1142/s0219887812500028 ◽

2012 ◽

Vol 09 (01) ◽

pp. 1250002

Author(s):

ABOLGHASEM LALEH ◽

MORTEZA M. REZAII ◽

ATAABAK BAAGHERZADEH HUSHMANDI

Keyword(s):

Riemannian Manifold ◽

Finsler Manifold ◽

Finsler Metric ◽

Sufficient Condition ◽

Totally Geodesic ◽

Geodesic Submanifolds ◽

Totally Geodesic Submanifolds ◽

Sasakian Metric

In this paper, for a Finsler manifold (M, F) with a Finsler metric gij(x, y) we shall consider a generalized Lagrange metrics (FGL-metrics) as the form *gij(x, y) = gij(x, y) + σ(x, y)Bi(x, y)Bj(x, y) on TM. Then we shall consider a Riemannian manifold (TM, *G) in which *G is a generalized Sasakian metric of *g on [Formula: see text]. Then we restrict the above FGL-metrics to a submanifold of [Formula: see text], and show that it admits a GL-metric structure. Then we shall find a necessary and sufficient condition for this submanifold to be totally geodesic.

On generalized 4-th root metrics of isotropic scalar curvature

Mathematica Slovaca ◽

10.1515/ms-2017-0154 ◽

2018 ◽

Vol 68 (4) ◽

pp. 907-928 ◽

Cited By ~ 3

Author(s):

Akbar Tayebi

Keyword(s):

Scalar Curvature ◽

Finsler Geometry ◽

Finsler Metric ◽

Finsler Metrics ◽

Sufficient Condition ◽

Riemannian Curvature ◽

Conformal Change ◽

Riemannian Curvature Tensor ◽

AbstractBy an interesting physical perspective and a suitable contraction of the Riemannian curvature tensor in Finsler geometry, Akbar-Zadeh introduced the notion of scalar curvature for the Finsler metrics. A Finsler metric is called of isotropic scalar curvature if the scalar curvature depends on the position only. In this paper, we study the class of generalized 4-th root metrics. These metrics generalize 4-th root metrics which are used in Biology as ecological metrics. We find the necessary and sufficient condition under which a generalized 4-th root metric is of isotropic scalar curvature. Then, we find the necessary and sufficient condition under which the conformal change of a generalized 4-th root metric is of isotropic scalar curvature. Finally, we characterize the Bryant metrics of isotropic scalar curvature.

Projectively Flat Finsler Space of Douglas Type with Weakly-Berwald (α,β)-Metric

International Journal of Pure Mathematical Sciences ◽

10.18052/www.scipress.com/ijpms.18.1 ◽

2017 ◽

Vol 18 ◽

pp. 1-12

Author(s):

Maranna Ramesha ◽

S.K. Narasimhamurthy

Keyword(s):

Present Article ◽

Finsler Space ◽

Riemannian Metric ◽

Sufficient Condition ◽

Important Class ◽

Berwald Space ◽

Projectively Flat ◽

The present article is organized as follows: In the first part, we characterize the important class of special Finsler (α,β)-metric in the form ofL=α+α2/β, whereαis Riemannian metric andβis differential 1-form to be projectively flat. In the second part, we describe condition for a Finsler spaceFnwith an (α,β)-metric is of Douglas type. Further we investigate the necessary and sufficient condition for a Finsler space with an (α,β)-metric to be weakly-Berwald space and Berwald space.

On general (α, β)-metrics with vanishing Douglas curvature

International Journal of Mathematics ◽

10.1142/s0129167x15500767 ◽

2015 ◽

Vol 26 (09) ◽

pp. 1550076 ◽

Cited By ~ 3

Author(s):

Hongmei Zhu

Keyword(s):

Riemannian Metric ◽

Finsler Metric ◽

Finsler Metrics ◽

Sufficient Condition ◽

Douglas Metric ◽

Douglas Curvature

In this paper, we study a class of Finsler metrics called general (α, β)-metrics, which are defined by a Riemannian metric α and a 1-form β. We find an equation which is necessary and sufficient condition for such Finsler metric to be a Douglas metric. By solving this equation, we obtain all of general (α, β)-metrics with vanishing Douglas curvature under certain condition. Many new non-trivial examples are explicitly constructed.

On generalized Kropina change of mth root Finsler metric

International Journal of Geometric Methods in Modern Physics ◽

10.1142/s0219887817500815 ◽

2017 ◽

Vol 14 (05) ◽

pp. 1750081 ◽

Cited By ~ 1

Author(s):

Bankteshwar Tiwari ◽

Ghanashyam Kr. Prajapati

Keyword(s):

Finsler Metric ◽

Sufficient Condition ◽

Projectively Flat ◽

In the present paper, we consider generalized Kropina change of [Formula: see text]th root Finsler metric and prove that it is locally projectively flat if and only if it is locally Minkowskian. We also establish a necessary and sufficient condition under which the generalized Kropina change of [Formula: see text]th root metric is locally dually flat. Further it is proved that a generalized Kropina change of [Formula: see text]th root metric cannot be conformal to an [Formula: see text]th root Finsler metric.

IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences ◽

A Necessary and Sufficient Condition of Supply and Threshold Voltages in CMOS Circuits for Minimum Energy Point Operation

10.1587/transfun.e100.a.2764 ◽

2017 ◽

Vol E100.A (12) ◽

pp. 2764-2775 ◽

Cited By ~ 1

Author(s):

Jun SHIOMI ◽

Tohru ISHIHARA ◽

Hidetoshi ONODERA

Keyword(s):

Minimum Energy ◽

Cmos Circuits ◽

Sufficient Condition ◽

Energy Point ◽

Threshold Voltages ◽

Minimum Energy Point

A Necessary and Sufficient Condition for a Local Commutative Algebra to be a Moduli Algebra: Weighted Homogeneous Case

Complex Analytic Singularities ◽

10.2969/aspm/00810687 ◽

2018 ◽

Author(s):

Stephen S.-T. Yau

Keyword(s):

Commutative Algebra ◽

Sufficient Condition ◽

Homogeneous Case ◽

Moduli Algebra ◽

A Proposed Framework Emphasizing Auditor Reliability over Auditor Independence

Accounting Horizons ◽

10.2308/acch.2003.17.3.257 ◽

2003 ◽

Vol 17 (3) ◽

pp. 257-266 ◽

Cited By ~ 31

Author(s):

Mark H. Taylor ◽

F. Todd DeZoort ◽

Edward Munn ◽

Martha Wetterhall Thomas

Keyword(s):

Public Interest ◽

Auditor Independence ◽

Public Confidence ◽

Sufficient Condition ◽

Accounting Profession ◽

The Public ◽

This paper introduces an auditor reliability framework that repositions the role of auditor independence in the accounting profession. The framework is motivated in part by widespread confusion about independence and the auditing profession's continuing problems with managing independence and inspiring public confidence. We use philosophical, theoretical, and professional arguments to argue that the public interest will be best served by reprioritizing professional and ethical objectives to establish reliability in fact and appearance as the cornerstone of the profession, rather than relationship-based independence in fact and appearance. This revised framework requires three foundation elements to control subjectivity in auditors' judgments and decisions: independence, integrity, and expertise. Each element is a necessary but not sufficient condition for maximizing objectivity. Objectivity, in turn, is a necessary and sufficient condition for achieving and maintaining reliability in fact and appearance.

The Power of Public Positions

10.1093/oso/9780198813972.003.0002 ◽

2018 ◽

Author(s):

Thomas Sinclair

Keyword(s):

Detailed Analysis ◽

Political Authority ◽

The State ◽

Sufficient Condition ◽

State Institutions ◽

State Of Nature ◽

The Kantian account of political authority holds that the state is a necessary and sufficient condition of our freedom. We cannot be free outside the state, Kantians argue, because any attempt to have the “acquired rights” necessary for our freedom implicates us in objectionable relations of dependence on private judgment. Only in the state can this problem be overcome. But it is not clear how mere institutions could make the necessary difference, and contemporary Kantians have not offered compelling explanations. A detailed analysis is presented of the problems Kantians identify with the state of nature and the objections they face in claiming that the state overcomes them. A response is sketched on behalf of Kantians. The key idea is that under state institutions, a person can make claims of acquired right without presupposing that she is by nature exceptional in her capacity to bind others.