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          講座預告:薄樂陽博士談“A class problem of k-curvature”
          來源:理學院作者:理學院時間:2019-05-30 點擊:0

          講座題目:A class problem of k-curvature

          講座摘要:In this talk, We first introduce the rigidity problem on closed locally conformally flat manifolds with constant $k$-curvature or constant quotient curvature. We prove that such manifolds must have constant sectional curvature under the assumption that the manifolds have nonnegative sectional curvature and the modified Schouten tensor is k-admissible, Moreover, when k=2, the assumption can be instead of nonnegative Ricci curvature. The same result is also held on closed locally conformally flat manifolds with totally geodesic boundary. Then, we consider the soliton problems related to fully nonlinear type Yamabe flow on both closed manifold and compact manifold with boundary. we prove that any k-Yamabe soliton or quotient Yamabe soliton must have constant k-curvature or quotient curvature on closed locally conformally flat manifolds and compact closed locally conformally flat manifolds with totally geodesic boundary.

          講座時間:6月5日下午2:00-3:00

          講座地點:勤園21樓306

          主講人:薄樂陽博士

          主講人簡介:薄樂陽,浙江大學博士,研究方向為幾何分析,博士期間的研究興趣集中共形幾何特別是緊致流形上與k曲率相關的剛性問題。在此方面,薄樂陽博士與合作者得到如下結果:1,對于局部共形平坦的具有常k曲率的流形,如果其截面曲率為正,則流形一定具有常截面曲率;2,局部共形平坦流形中具有正的k-曲率的Yamabe soliton必然具有常k曲率。

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          講座預告:薄樂陽博士談“A class problem of k-curvature”

          來源:理學院 作者:理學院 時間:2019-05-30 點擊:0