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

Zisheng Hu | Zendy; Yadong Jin | Zendy; Sen-Lin Xu | Zendy

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

Author(s) -

Zisheng Hu,

Yadong Jin,

Sen-Lin Xu

Publication year - 2010

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2010/758531

Subject(s) - ricci curvature , mathematics , upper and lower bounds , betti number , curvature , curvature of riemannian manifolds , volume (thermodynamics) , scalar curvature , constant (computer programming) , mathematical analysis , sectional curvature , pure mathematics , combinatorics , geometry , physics , quantum mechanics , computer science , programming language

We extend the classical Bishop-Gromov volume comparison from constantRicci curvature lower bound to radially symmetric Ricci curvature lower bound, andapply it to investigate the volume growth, total Betti number, and finite topologicaltype of manifolds with nonasymptotically almost nonnegative Ricci curvature

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