报告人：程新跃（重庆师范大学）

时间：2021年6月11日10:30开始

地点：理科楼LA106

摘要:In this talk, we establish some important inequalities under a lower weighted Ricci curvature bound on Finsler manifolds. Firstly, we obtain a sharp Poincare-Lichnerowicz inequality by using integrated Bochner inequality, from which we obtain a sharp lower bound for the first eigenvalue on the Finsler manifolds. Then we establish a relative volume comparison of Bishop-Gromov type. As one of the the applications, we obtain an upper bound for volumes of the Finsler manifolds. Finally, when the S-curvature is boubded on the whole manifold, we obtain a theorem of Bonnet-Myers type on Finsler manifolds.

简介:程新跃，重庆师范大学教授，重庆市学术技术带头人，研究方向为整体微分几何，已在国内外重要学术期刊发表论文90余篇，由德国Springer出版社与科学出版社联合出版学术专著一部，由科学出版社出版研究生教材一部，其研究成果获重庆市自然科学二等奖。

邀请人：穆春来  周云华

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