A Volume Comparison Estimate with Radially Symmetric Ricci Curvature Lower Bound and Its Applications

We extend the classical Bishop-Gromov volume comparison from constant Ricci curvature lower bound to radially symmetric Ricci curvature lower bound, and apply it to investigate the volume growth, total Betti number, and finite topological type of manifolds with nonasymptotically almost nonnegative R...

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Detalhes bibliográficos
Main Authors: Zisheng Hu, Yadong Jin, Senlin Xu
Formato: Artigo
Idioma:English
Publicado em: Wiley 2010-01-01
Colecção:International Journal of Mathematics and Mathematical Sciences
Acesso em linha:http://dx.doi.org/10.1155/2010/758531