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2021•Nepal Journal of Mathematical SciencesOpen access

On Generalized h-Recurrent Finsler Connection

Khageshwar Mandal

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Abstract

The purpose of the present paper is to generalize the concept of recurrent Finsler connection by taking h-connection by applying h-covariant derivative of Φ (p)ij as recurrent. Such a connection will be called a generalized h-recurrent Finsler connection. The relation between curvature tensors of Cartan's connection Cτ and generalized h-recurrent Finsler connection has been established.

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What this paper is about

The purpose of the present paper is to generalize the concept of recurrent Finsler connection by taking h-connection by applying h-covariant derivative of Φ (p)ij as recurrent. Such a connection will be called a generalized h-recurrent Finsler connection. The relation between curvature tensors of Cartan's connection Cτ and generalized h-recurrent Finsler connection has been established.

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Available abstract

The purpose of the present paper is to generalize the concept of recurrent Finsler connection by taking h-connection by applying h-covariant derivative of Φ (p)ij as recurrent. Such a connection will be called a generalized h-recurrent Finsler connection. The relation between curvature tensors of Cartan's connection Cτ and generalized h-recurrent Finsler connection has been established.

Key concepts: Connection (principal bundle), Covariant derivative, Covariant transformation, Mathematics, Curvature, Finsler manifold, Pure mathematics, Levi-Civita connection

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