Comparison Theorems in Riemannian Geometry

[1]  E. Hope,et al.  Elementare Bemerkungen über die Lösungen partieller differentialgleichungen zweiter Ordnung vom elliptischen Typus , 1927 .

[2]  S. Myers,et al.  Riemannian manifolds with positive mean curvature , 1941 .

[3]  L. W. Green A theorem of E. Hopf. , 1958 .

[4]  E. Calabi An extension of E. Hopf’s maximum principle with an application to Riemannian geometry , 1958 .

[5]  M. Berger Les variétés riemanniennes (1/4)-pincées , 1960 .

[6]  W. Klingenberg Über Riemannsche Mannigfaltigkeiten mit positiver Krümmung , 1961 .

[7]  K. Nomizu,et al.  Foundations of Differential Geometry , 1963 .

[8]  Detlef Gromoll,et al.  The structure of complete manifolds of nonnegative curvature , 1968 .

[9]  John Milnor,et al.  A note on curvature and fundamental group , 1968 .

[10]  J. Cheeger,et al.  The splitting theorem for manifolds of nonnegative Ricci curvature , 1971 .

[11]  J. Cheeger,et al.  Comparison theorems in Riemannian geometry , 1975 .

[12]  R. Greene,et al.  C∞ convex functions and manifolds of positive curvature , 1976 .

[13]  Karsten Grove,et al.  A generalized sphere theorem , 1977 .

[14]  H. Wu,et al.  An elementary method in the study of nonnegative curvature , 1979 .

[15]  V. Sharafutdinov Convex sets in a manifold of nonnegative curvature , 1979 .

[16]  Michael Gromov,et al.  Curvature, diameter and betti numbers , 1981 .

[17]  Mikhael Gromov Structures métriques pour les variétés riemanniennes , 1981 .

[18]  Loring W. Tu,et al.  Differential forms in algebraic topology , 1982, Graduate texts in mathematics.

[19]  J. Eschenburg,et al.  An elementary proof of the Cheeger-Gromoll splitting theorem , 1984 .

[20]  U. Abresch,et al.  Lower curvature bounds, Toponogov's theorem, and bounded topology. II , 1985 .

[21]  Local convexity and nonnegative curvature —Gromov's proof of the sphere theorem , 1986 .

[22]  J. Eschenburg Comparison theorems and hypersurfaces , 1987 .

[23]  Jin-Whan Yim Distance nonincreasing retraction on a complete open manifold of nonnegative sectional curvature , 1988 .

[24]  ∑-flat manifolds and Riemannian submersions , 1989 .

[25]  J. Eschenburg Maximum principle for hypersurfaces , 1989 .

[26]  J. Eschenburg,et al.  Comparison theory for Riccati equations , 1990 .

[27]  J. Eschenburg Diameter, volume, and topology for positive Ricci curvature , 1991 .