On generalized Einstein metrics in Finsler geometry

• Autores: Guojun Yang, Xinyue Cheng
• Localización: Publicationes Mathematicae Debrecen, ISSN 0033-3883, Tomus 74, Fasc. 1-2, 2009, págs. 171-185
• Idioma: inglés
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• Resumen

  • In this paper we de¯ne the generalized Einstein metrics in Finsler geometry by Car- tan connection and study the geometrical properties of such Finsler metrics. Further, by use of the theory of Y -Riemannian metrics, we discuss the curvature properties of the Y -Riemannian space induced from a vector ¯eld which is determined by ¯ and ® in a generalized Einstein (®; ¯)-space.