scholarly journals Projective Change between Two Finsler Spaces with (α, β)- metric

2012 ◽  
Vol 52 (1) ◽  
pp. 81-89
Author(s):  
Narasimhamurthy Senajji Kampalappa ◽  
Vasantha Dogehalli Mylarappa
Keyword(s):  
Finsler Spaces ◽  
Projective Change

Recurrent Finsler manifolds under projective change

2016 ◽  
Vol 13 (10) ◽  
pp. 1650126 ◽  
Author(s):  
Amr Soleiman
Keyword(s):  
Curvature Tensor ◽  
Finsler Spaces ◽  
Finsler Manifolds ◽  
Projective Change ◽  
Douglas Tensor

The aim of the present paper is to provide an intrinsic investigation of some important special Finsler spaces. These spaces are related to the Berwald [Formula: see text]-curvature tensor of transformed manifold, the Douglas tensor and the projective deviation tensor of projective change. Three spaces are studied and called symmetric, [Formula: see text]-recurrent and [Formula: see text]-recurrent manifolds.

On projective symmetries on Finsler spaces

2021 ◽  
Vol 77 ◽  
pp. 101763
Author(s):  
B. Lajmiri ◽  
B. Bidabad ◽  
M. Rafie-Rad ◽  
Y. Aryanejad-Keshavarzi
Keyword(s):  
Finsler Spaces

SOME PROBLEMS IN DECOMPOSED BI-RECURRENT FINSLER SPACES

1984 ◽  
Vol 17 (1) ◽  
Author(s):  
N.K. Sharma ◽  
Asha Srivastava
Keyword(s):  
Finsler Spaces

On warped product Finsler spaces of Landsberg type

2011 ◽  
Vol 52 (9) ◽  
pp. 093506 ◽  
Author(s):  
Ataabak B. Hushmandi ◽  
Morteza M. Rezaii
Keyword(s):  
Warped Product ◽  
Finsler Spaces

scholarly journals On weakly symmetric Finsler spaces

2010 ◽  
Vol 60 (4) ◽  
pp. 570-573 ◽  
Author(s):  
Parastoo Habibi ◽  
Asadollah Razavi
Keyword(s):  
Finsler Spaces ◽  
Weakly Symmetric

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.

On Flag Curvature of Homogeneous Randers Spaces

2013 ◽  
Vol 65 (1) ◽  
pp. 66-81 ◽  
Author(s):  
Shaoqiang Deng ◽  
Zhiguang Hu
Keyword(s):  
Explicit Formula ◽  
Lie Group ◽  
Flag Curvature ◽  
Nilpotent Lie Group ◽  
Finsler Spaces ◽  
Rigidity Result ◽  
Randers Space ◽  
Negatively Curved

AbstractIn this paper we give an explicit formula for the flag curvature of homogeneous Randers spaces of Douglas type and apply this formula to obtain some interesting results. We first deduce an explicit formula for the flag curvature of an arbitrary left invariant Randersmetric on a two-step nilpotent Lie group. Then we obtain a classification of negatively curved homogeneous Randers spaces of Douglas type. This results, in particular, in many examples of homogeneous non-Riemannian Finsler spaces with negative flag curvature. Finally, we prove a rigidity result that a homogeneous Randers space of Berwald type whose flag curvature is everywhere nonzero must be Riemannian.

On generalized symmetric Finsler spaces

2010 ◽  
Vol 149 (1) ◽  
pp. 121-127 ◽  
Author(s):  
Parastoo Habibi ◽  
Asadollah Razavi
Keyword(s):  
Finsler Spaces
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