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SOME PROPERTIES ON FINSLER SPACES WITH A QUARTIC METRIC

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The purpose of the present paper is devoted to a study of some properties on spaces with a quartic metric from the standpoint of Finsler geometry.

Abstract

0. Introduction

1. Characterization of quartic metrics

2. Certain important tensors of quartic Finsler spaces

3. A characteristic Finsler connection in a quartic Finsler space

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