On continuous mappings between non-negatively and non-positively curved manifolds.
Paweł Grzegorz Walczak (1984)
Banach Center Publications
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Paweł Grzegorz Walczak (1984)
Banach Center Publications
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J. Cheeger, X. Rong (1996)
Geometric and functional analysis
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Dussan, Martha, Noronha, Maria Helena (2005)
Balkan Journal of Geometry and its Applications (BJGA)
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Mahaman Bazanfaré (2000)
Revista Matemática Complutense
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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.
Barbara Opozda (1983)
Annales Polonici Mathematici
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Lohkamp, Joachim (1998)
Documenta Mathematica
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Toshihiko Ikawa, Masahiro Kon (1977)
Colloquium Mathematicae
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Jing Mao (2016)
Czechoslovak Mathematical Journal
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In this paper, for complete Riemannian manifolds with radial Ricci or sectional curvature bounded from below or above, respectively, with respect to some point, we prove several volume comparison theorems, which can be seen as extensions of already existing results. In fact, under this radial curvature assumption, the model space is the spherically symmetric manifold, which is also called the generalized space form, determined by the bound of the radial curvature, and moreover, volume...
Yukio Otsu (1991)
Mathematische Zeitschrift
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Brent Collins (2001)
Visual Mathematics
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Colding, Tobias H. (1998)
Documenta Mathematica
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K.D. Elworthy, Steven Rosenberg (1991)
Inventiones mathematicae
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