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Variation of a functional on the Riemannian submanifold and its applications in Finsler geometry
崔宁伟副教授(西南交通大学)
2020年10月29日13:00-14:00  腾讯会议ID:508 474 362

会议时间:2020年10月29日13:00-14:00
会议地点:腾讯会议ID:508 474 362
主持人:周林峰

摘要:In 1998, Z. Shen introduced the minimal submanifold in a Finsler manifold via the volume variation without using any connection. He proved the rigidity result that there is no closed orientable minimal submanifold in any Minkowksian space. We find a natural identity on the submanifold in an arbitrary general (alpha,beta)-manifold (introduced by C. Yu and H. Zhu). It enables us to prove the nonexistence of closed orientable minimal submanifolds in certain non-Minkowksian manifolds (including the Funk manifold and the Berward’s manifold of flag curvature K=0 in 1929).