caa a22 4500 445884479 CHVBK 20180317145555.0 cr unu---uuuuu 170323e20110201xx s 000 0 eng 10.1007/s10711-010-9494-7 doi (NATIONALLICENCE)springer-10.1007/s10711-010-9494-7 Ricci curvature, radial curvature and large volume growth [Elektronische Daten] [Guanghan Li, Yi Shi, Chuanxi Wu] In this paper, we study complete noncompact Riemannian manifolds with Ricci curvature bounded from below. When the Ricci curvature is nonnegative, we show that this kind of manifolds are diffeomorphic to a Euclidean space, by assuming an upper bound on the radial curvature and a volume growth condition of their geodesic balls. When the Ricci curvature only has a lower bound, we also prove that such a manifold is diffeomorphic to a Euclidean space if the radial curvature is bounded from below. Moreover, by assuming different conditions and applying different methods, we shall prove more results on Riemannian manifolds with large volume growth. Springer Science+Business Media B.V., 2010 Ricci curvature nationallicence Radial curvature nationallicence Large volume growth nationallicence Comparison theorem nationallicence Li Guanghan School of Mathematics and Computer Science, and Key Laboratory of Applied Mathematics of Hubei Province, Hubei University, 430062, Wuhan, China aut Shi Yi Department of Mathematics, Hubei University, 430062, Wuhan, China aut Wu Chuanxi Institute of Mathematics, Hubei University, 430062, Wuhan, China aut Geometriae Dedicata Springer Netherlands 150/1(2011-02-01), 63-74 0046-5755 150:1<63 2011 150 10711 https://doi.org/10.1007/s10711-010-9494-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10711-010-9494-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Li Guanghan School of Mathematics and Computer Science, and Key Laboratory of Applied Mathematics of Hubei Province, Hubei University, 430062, Wuhan, China aut NATIONALLICENCE 700 1- Shi Yi Department of Mathematics, Hubei University, 430062, Wuhan, China aut NATIONALLICENCE 700 1- Wu Chuanxi Institute of Mathematics, Hubei University, 430062, Wuhan, China aut NATIONALLICENCE 773 0- Geometriae Dedicata Springer Netherlands 150/1(2011-02-01), 63-74 0046-5755 150:1<63 2011 150 10711 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer