A volume comparison theorem and number of ends for manifolds with asymptotically nonnegative Ricci curvature.

Mahaman Bazanfaré

Revista Matemática Complutense (2000)

  • Volume: 13, Issue: 2, page 399-409
  • ISSN: 1139-1138

Abstract

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In this paper we establish a volume comparison theorem for cocentric metric balls at arbitrary point for manifolds with asymptotically nonnegative Ricci curvature, which will allow us to prove the finiteness of the number of ends.

How to cite

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Bazanfaré, Mahaman. "A volume comparison theorem and number of ends for manifolds with asymptotically nonnegative Ricci curvature.." Revista Matemática Complutense 13.2 (2000): 399-409. <http://eudml.org/doc/44355>.

@article{Bazanfaré2000,
abstract = {In this paper we establish a volume comparison theorem for cocentric metric balls at arbitrary point for manifolds with asymptotically nonnegative Ricci curvature, which will allow us to prove the finiteness of the number of ends.},
author = {Bazanfaré, Mahaman},
journal = {Revista Matemática Complutense},
keywords = {Variedad riemanniana; Curvatura; Riemannian manifold; Ricci curvature; volume},
language = {eng},
number = {2},
pages = {399-409},
title = {A volume comparison theorem and number of ends for manifolds with asymptotically nonnegative Ricci curvature.},
url = {http://eudml.org/doc/44355},
volume = {13},
year = {2000},
}

TY - JOUR
AU - Bazanfaré, Mahaman
TI - A volume comparison theorem and number of ends for manifolds with asymptotically nonnegative Ricci curvature.
JO - Revista Matemática Complutense
PY - 2000
VL - 13
IS - 2
SP - 399
EP - 409
AB - In this paper we establish a volume comparison theorem for cocentric metric balls at arbitrary point for manifolds with asymptotically nonnegative Ricci curvature, which will allow us to prove the finiteness of the number of ends.
LA - eng
KW - Variedad riemanniana; Curvatura; Riemannian manifold; Ricci curvature; volume
UR - http://eudml.org/doc/44355
ER -

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