Locally projectively flatness and locally dually flatness of generalized Kropina conformal change of m-th root metric

Document Type : Original Article

Authors

1 Department of Mathematics Institute of Applied Sciences and Humanities GLA University Mathura-281406, India

2 Department of Mathematics Dr Rammanohar Lohia Avadh University, Ayodhya-224001, UP, India

3 Department of Mathematics and Statistics Dr. Rammanohar Lohiya Avadh University, Ayodhya-224001

Abstract

In this paper, we consider the generalized Kropina conformal change of m-th root metric and for this, prove a necessary and sufficient condition of locally projectively flatness. Also we proved a necessary and sufficient condition for the generalized Kropina conformal change of m-th root metric is locally dually flat.

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