The warped Sasaki–Matsumoto metric and bundlelike condition

2010 ◽  
Vol 51 (12) ◽  
pp. 122701 ◽  
Author(s):  
Y. Alipour-Fakhri ◽  
M. M. Rezaii
Keyword(s):  
Matsumoto Metric

HORIZONTAL LAPLACIAN ON TANGENT BUNDLE OF FINSLER MANIFOLD WITH g-NATURAL METRIC

2012 ◽  
Vol 09 (07) ◽  
pp. 1250061 ◽  
Author(s):  
ESMAEIL PEYGHAN ◽  
AKBAR TAYEBI ◽  
CHUNPING ZHONG
Keyword(s):  
Tangent Bundle ◽  
Vector Fields ◽  
Vector Bundles ◽  
Killing Vector ◽  
Finsler Manifold ◽  
Order Differential Operator ◽  
Finsler Manifolds ◽  
Scalar And Vector Fields ◽  
Matsumoto Metric ◽  
Weitzenböck Formula

Recently the third author studied horizontal Laplacians in real Finsler vector bundles and complex Finsler manifolds. In this paper, we introduce a class of g-natural metrics Ga,b on the tangent bundle of a Finsler manifold (M, F) which generalizes the associated Sasaki–Matsumoto metric and Miron metric. We obtain the Weitzenböck formula of the horizontal Laplacian associated to Ga,b, which is a second-order differential operator for general forms on tangent bundle. Using the horizontal Laplacian associated to Ga,b, we give some characterizations of certain objects which are geometric interest (e.g. scalar and vector fields which are horizontal covariant constant) on the tangent bundle. Furthermore, Killing vector fields associated to Ga,b are investigated.

scholarly journals Characterization of locally dually flat Matsumoto metric

2013 ◽  
Vol 8 (2) ◽  
pp. 49-54
Author(s):  
Narasimhamurthy S.K ◽  
Keyword(s):  
Matsumoto Metric

scholarly journals On a Hypersurface of a Finsler Space with Randers Change of Matsumoto Metric

Geometry ◽  
2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
M. K. Gupta ◽  
Abhay Singh ◽  
P. N. Pandey
Keyword(s):  
Finsler Space ◽  
Geometrical Properties ◽  
Matsumoto Metric

The present paper contains certain geometrical properties of a hypersurface of a Finsler space with Randers change of Matsumoto metric.

Conformal transformation of Douglas space of second kind with special (α, β)-metric

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Rishabh Ranjan ◽  
P.N. Pandey ◽  
Ajit Paul
Keyword(s):  
Conformal Transformation ◽  
Design Methodology ◽  
Content Type ◽  
Conformal Change ◽  
Randers Metric ◽  
Conformally Invariant ◽  
Matsumoto Metric

PurposeIn this paper, the authors prove that the Douglas space of second kind with a generalised form of special (α, β)-metric F, is conformally invariant.Design/methodology/approachFor, the authors have used the notion of conformal transformation and Douglas space.FindingsThe authors found some results to show that the Douglas space of second kind with certain (α, β)-metrics such as Randers metric, first approximate Matsumoto metric along with some special (α, β)-metrics, is invariant under a conformal change.Originality/valueThe authors introduced Douglas space of second kind and established conditions under which it can be transformed to a Douglas space of second kind.

scholarly journals ON THE SECOND APPROXIMATE MATSUMOTO METRIC

2014 ◽  
Vol 51 (1) ◽  
pp. 115-128 ◽  
Author(s):  
Akbar Tayebi ◽  
Tayebeh Tabatabaeifar ◽  
Esmaeil Peyghan
Keyword(s):  
Matsumoto Metric

scholarly journals PROJECTIVELY FLAT FINSLER SPACE WITH AN APPROXIMATE MATSUMOTO METRIC

2003 ◽  
Vol 18 (3) ◽  
pp. 501-513 ◽  
Author(s):  
Hong-Suh Park ◽  
Il-Yong Lee ◽  
Ha-Yong Park ◽  
Byung-Doo Kim
Keyword(s):  
Finsler Space ◽  
Projectively Flat ◽  
Matsumoto Metric

Introduction to Matsumoto metric

2005 ◽  
Vol 63 (5-7) ◽  
pp. e165-e168 ◽  
Author(s):  
H. Shimada ◽  
S.V. Sabau
Keyword(s):  
Matsumoto Metric
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