Maximal bottom of spectrum or volume entropy rigidity in Alexandrov geometry

作者：Jiang, Yin^*

来源：Mathematische Zeitschrift, 2019, 291(1-2): 55-84.

DOI：10.1007/s00209-018-2073-6

• SPACES

Li and Wang [J Differ Geom 58:501-534 (2001), J Differ Geom 62:143-162 (2002)] proved a splitting theorem for an n-dimensional Riemannian manifold with Ric >= -(n - 1) and the bottom of spectrum lambda(0)(M) = (n-1)(2)/4. For an n-dimensional compact manifold M with Ric >= -(n - 1) with the volume entropy h(M) = n - 1, Ledrappier and Wang (J Differ Geom 85:461-477, 2010) proved that the universal cover (M) over tilde is isometric to the hyperbolic space H-n. We will prove analogue theorems for Alexandrov spaces.

• 出版日期2019-2
• 单位首都师范大学