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  On Ricci curvature and volume growth in dimension three

Reiris, M. (2015). On Ricci curvature and volume growth in dimension three. Journal of differential geometry, 99 (2), 313-357. Retrieved from http://arxiv.org/abs/1212.1317.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0025-0263-3 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0025-0264-1
Genre: Journal Article

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1212.1317.pdf (Preprint), 488KB
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 Creators:
Reiris, Martin1, Author              
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24012              

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Free keywords: Mathematics, Differential Geometry, math.DG
 Abstract: We prove that any complete metric on R^3 minus a ball with non-negative Ricci curvature and quadratic Ricci-curvature decay, has cubic volume growth.

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 Dates: 2012-12-062015
 Publication Status: Published in print
 Pages: 38 pages; 4 figures
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1212.1317
URI: http://arxiv.org/abs/1212.1317
 Degree: -

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Title: Journal of differential geometry
Source Genre: Journal
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Publ. Info: Bethlehem, Pa. : Lehigh University
Pages: - Volume / Issue: 99 (2) Sequence Number: - Start / End Page: 313 - 357 Identifier: ISSN: 0022-040X
CoNE: http://pubman.mpdl.mpg.de/cone/journals/resource/954925412864