projectively related einstein finsler spaces
نویسندگان
چکیده
the main objective of this paper is to find the necessary and sufficient condition of a given finslermetric to be einstein in order to classify the einstein finsler metrics on a compact manifold. the consideredeinstein finsler metric in the study describes all different kinds of einstein metrics which are pointwiseprojective to the given one. this study has resulted in the following theorem that needs the proof of threeprepositions. let f be a finsler metric (n > 2) projectively related to an einstein non-projectively flatfinsler metric f , then f is einstein if and only if f = λ f whereλ is a constant. a schur type lemma isalso proved.
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عنوان ژورنال:
iranian journal of science and technology (sciences)ISSN 1028-6276
دوره 32
شماره 4 2008
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