NDLI: On the Flag Curvature of Invariant Randers Metrics

Please wait, while we are loading the content...

Mathematical Physics, Analysis and Geometry : Volume 20

Mathematical Physics, Analysis and Geometry : Volume 19

Mathematical Physics, Analysis and Geometry : Volume 18

Mathematical Physics, Analysis and Geometry : Volume 17

Mathematical Physics, Analysis and Geometry : Volume 16

Mathematical Physics, Analysis and Geometry : Volume 15

Mathematical Physics, Analysis and Geometry : Volume 14

Mathematical Physics, Analysis and Geometry : Volume 13

Mathematical Physics, Analysis and Geometry : Volume 12

Mathematical Physics, Analysis and Geometry : Volume 11

Mathematical Physics, Analysis and Geometry : Volume 11, Issue 3-4, November 2008

Mathematical Physics, Analysis and Geometry : Volume 11, Issue 2, May 2008

Mathematical Physics, Analysis and Geometry : Volume 11, Issue 1, February 2008

On the Flag Curvature of Invariant Randers Metrics

Block Toeplitz Determinants, Constrained KP and Gelfand-Dickey Hierarchies

Degree Complexity of a Family of Birational Maps

Phase Vortex: A Dynamical System Approach

Algebraic Theory of Linear Viscoelastic Nematodynamics

Mathematical Physics, Analysis and Geometry : Volume 10

Mathematical Physics, Analysis and Geometry : Volume 9

Mathematical Physics, Analysis and Geometry : Volume 8

Mathematical Physics, Analysis and Geometry : Volume 7

Mathematical Physics, Analysis and Geometry : Volume 6

Mathematical Physics, Analysis and Geometry : Volume 5

Mathematical Physics, Analysis and Geometry : Volume 4

Mathematical Physics, Analysis and Geometry : Volume 3

Mathematical Physics, Analysis and Geometry : Volume 2

Mathematical Physics, Analysis and Geometry : Volume 1

On the Flag Curvature of Invariant Randers Metrics

Content Provider	Springer Nature Link
Author	Moghaddam, Hamid Reza Salimi
Copyright Year	2008
Abstract	In the present paper, the flag curvature of invariant Randers metrics on homogeneous spaces and Lie groups is studied. We first give an explicit formula for the flag curvature of invariant Randers metrics arising from invariant Riemannian metrics on homogeneous spaces and, in special case, Lie groups. We then study Randers metrics of constant positive flag curvature and complete underlying Riemannian metric on Lie groups. Finally we give some properties of those Lie groups which admit a left invariant non-Riemannian Randers metric of Berwald type arising from a left invariant Riemannian metric and a left invariant vector field.
Ending Page	9
Page Count	9
Starting Page	1
File Format	PDF
ISSN	13850172
e-ISSN	15729656
Journal	Mathematical Physics, Analysis and Geometry
Issue Number	1
Volume Number	11
Language	English
Publisher	Springer Netherlands
Publisher Date	2008-03-21
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Homogeneous manifolds Mathematical and Computational Physics Invariant metric Geometry Randers space Flag curvature Analysis Lie group Finsler spaces and generalizations (areal metrics) Group Theory and Generalizations Homogeneous space Lie algebras of Lie groups Applications of Mathematics
Content Type	Text
Resource Type	Article
Subject	Mathematical Physics Geometry and Topology

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

On the left invariant Randers and Matsumoto metrics of Berwald type on 3-dimensional Lie groups

Flag Curvature of Invariant Randers Metrics on Homogeneous Manifolds

Reversible homogeneous Finsler metrics with positive flag curvature

Finsler metrics of scalar flag curvature with special non-Riemannian curvature properties

On the flag curvature of homogeneous Finsler space with some special $(\alpha, \beta)$-metrics

On the flag curvature of a homogeneous Finsler sapce with generalized $m$-Kropina metric

Finsler Manifolds with Nonpositive Flag Curvature and Constant S-curvature

Invariant Einstein Kropina metrics on Lie groups and homogeneous spaces

Invariant Matsumoto metrics on homogeneous spaces

On the Flag Curvature of Invariant Randers Metrics

Similar Documents

On the left invariant Randers and Matsumoto metrics of Berwald type on 3-dimensional Lie groups

Flag Curvature of Invariant Randers Metrics on Homogeneous Manifolds

Reversible homogeneous Finsler metrics with positive flag curvature

Finsler metrics of scalar flag curvature with special non-Riemannian curvature properties

On the flag curvature of homogeneous Finsler space with some special $(\alpha, \beta)$-metrics

On the flag curvature of a homogeneous Finsler sapce with generalized $m$-Kropina metric

Finsler Manifolds with Nonpositive Flag Curvature and Constant S-curvature

Invariant Einstein Kropina metrics on Lie groups and homogeneous spaces

Invariant Matsumoto metrics on homogeneous spaces

On the Flag Curvature of Invariant Randers Metrics