Lectures Notes on Geometric Analysis

Li, Peter.

Lectures Notes on Geometric Analysis - U.S.A : 1996 - 95 páginas

1.First and second variational formulas for area. 2.Bishop comparison theorem. 3.Bochner-Weitzenbock theorem. 4.Laplacian comparison theorem. 5.Poincaré inequality ans the first eigenvalue. 6.Gradient estimate and Harnack inequality. 7.Mean value inequality. 8.Reilly’s formula and applications. 9.Isoperimetric ineuqalities and Sobolev inequalities. 10.Lower bounds of isoperimetric and regularity theory of de Giorgi-Nash-Morse.

fcnm2609

515.7I/L58