جستجوی مقالات مرتبط با کلیدواژه « matsumoto metric » در نشریات گروه « ریاضی »

In this paper we characterize a minimal surface with Matsumoto metric and prove a Bernstein-type theorem for surfaces which are graphs of smooth functions. We also obtain the partial differential equation that characterizes the minimal translation surfaces and show that plane is the only such surface.

In this paper, we study the projective vector fields on two special (α,β)-metrics, namely Kropina and Matsumoto metrics. First, we consider the Kropina metrics, and show that if a Kropina metric F = α^2/β admits a projective vector field, then this is a conformal vector field with respect to Riemannian metric a or F has vanishing S-curvature. Then we study the Matsumoto metric F = α^2/(α−β) and prove that if the Matsumoto metric F = α^2/β admits a projective vector field, then this is a conformal vector field with respect to Riemannian metric a or F has vanishing S-curvature.

In this paper, we are going to consider a class of (α, β)-metrics which introduced by Matsumoto. We find a condition under which a Matsumoto metric of almost vanishing H-curvature reduces to a Berwald metric.

In this paper, we study generalized symmetric Finsler spaces with Matsumoto metric, infinite series metric and exponential metric.The definition of generalized symmetric Finsler spaces is a natural generalization of the definition of Riemannian generalized symmetric spaces. We prove that generalized symmetric (α, β)−spaces with Matsumoto metric, infinite series metric and exponential metric are Riemannian. We also prove that if (M, F) be a generalized symmetric Matsumoto space with F defined by the Riemannian metric a~ and the vector field X, Then the regular s−structure {sx} of (M, F) is also a regular s−structure of the Riemannian manifold (M, ã) and if (M, ã) be a generalized symmetric Riemannian space and Also suppose that F is a Matsumoto metric introduced by ã and a vector field X, Then the regular s−structure {sx} of (M, ã) is also a regular s−structure of (M, F) if and only if X is sx−invariant for all x in M.