The maximum diam theorem on Finsler manifolds

来源 :2016黎曼-芬斯勒几何国际会议 | 被引量 : 0次 | 上传用户：dongdongthere

【摘要】

：

　　We prove that,for a Finsler space,if the weighted Ricci curvature is bounded below by a positive number and the diam attains its maximal value,then it is is

【作者】

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YIN Songting

【机构】

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TongjiUniversity,P.R.China

【出处】

：

2016黎曼-芬斯勒几何国际会议

【发表日期】

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2016年6期

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论文部分内容阅读

　　We prove that,for a Finsler space,if the weighted Ricci curvature is bounded below by a positive number and the diam attains its maximal value,then it is isometric to a Finsler sphere.As an application,we show that the first eigenvalue of the Finsler-Laplacian attains its lower bound if and only if the Finsler manifold is isometric to a Finsler sphere,and moreover,we obtain an explicit 1-st eigenfunction on the sphere.

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