Some Ricci-flat ($$\alpha ,\beta $$)-metrics |
| |
Authors: | Esra Sengelen Sevim Semail Ülgen |
| |
Institution: | 1.Department of Mathematical Sciences,?stanbul Bilgi University,Istanbul,Turkey;2.Antalya International University,Antalya,Turkey |
| |
Abstract: | In this paper, we study a special class of Finsler metrics, \((\alpha ,\beta )\)-metrics, defined by \(F=\alpha \phi (\beta /\alpha )\), where \(\alpha \) is a Riemannian metric and \(\beta \) is a 1-form. We find an equation that characterizes Ricci-flat \((\alpha ,\beta )\)-metrics under the condition that the length of \(\beta \) with respect to \(\alpha \) is constant. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|