Titlebook: Geometric Analysis; In Honor of Gang Tia Jingyi Chen,Peng Lu,Zhou Zhang Book 2020 Springer Nature Switzerland AG 2020 Gang Tian.complex geo

Badger

Disability and Difference in Global ContextsFor a Riemannian covering π : M1 → M0, the bottoms of the spectra of M0 and M1 coincide if the covering is amenable. The converse implication does not always hold. Assuming completeness and a lower bound on the Ricci curvature, we obtain a converse under a natural condition on the spectrum of M0.

斥责

malapropism

Theo Blackmore,Stephen Lee HodgkinsFor a Riemannian covering π : M1 → M0, the bottoms of the spectra of M0 and M1 coincide if the covering is amenable. The converse implication does not always hold. Assuming completeness and a lower bound on the Ricci curvature, we obtain a converse under a natural condition on the spectrum of M0.

定点

Flirtatious

Clinical Accommodations and Simulation,The aim of this note is to explain a uniform approach of three different topics: Atiyah–Singer index theorem, holomorphic Morse inequalities and asymptotic expansion of Bergman kernel, by using heat kernels.

轻而薄

Anthropoid

吃掉

Singular Ricci Flows II,We establish several quantitative results about singular Ricci flows, including estimates on the curvature and volume, and the set of singular times.

退出可食用

,An Inequality Between Complex Hessian Measures of Hölder Continuous m-subharmonic Functions and CapFor a Riemannian covering π : M1 → M0, the bottoms of the spectra of M0 and M1 coincide if the covering is amenable. The converse implication does not always hold. Assuming completeness and a lower bound on the Ricci curvature, we obtain a converse under a natural condition on the spectrum of M0.

LIMIT

A Guided Tour to Normalized Volume,This is a survey on the recent theory on minimizing the normalized volume function attached to any klt singularities.