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On a class of dually flat general (α,β)-metrics

Authors :
Daxiao Zheng
Source :
Journal of Mathematical Analysis and Applications. 479:2338-2357
Publication Year :
2019
Publisher :
Elsevier BV, 2019.

Abstract

In this paper, we study a class of Finsler metric defined by a Riemannian metric, a 1-form and its norm: general ( α , β ) -metric. We classify locally dually flat general ( α , β ) -metric when the Riemannian metric α is strongly dually flat and give some new examples.

Details

ISSN :
0022247X
Volume :
479
Database :
OpenAIRE
Journal :
Journal of Mathematical Analysis and Applications
Accession number :
edsair.doi...........c0dfb9706b8f368d1668b052eddccd5d