On continuous mappings between non-negatively and non-positively curved manifolds.
Paweł Grzegorz Walczak (1984)
Banach Center Publications
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Displaying similar documents to “A combinatorial curvature flow for compact 3-manifolds with boundary.”
On continuous mappings between non-negatively and non-positively curved manifolds.
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In this survey we discuss the evolution by inverse mean curvature flow of star-shaped mean convex hypersurfaces in non-compact rank one symmetric spaces. We show similarities and differences between the case considered, with particular attention to how the geometry of the ambient manifolds influences the behaviour of the evolution. Moreover we try, when possible, to give an unified approach to the results present in literature.
Curvature contents of geometric spaces.
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A singular example for the averaged mean curvature flow.
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Experimental Mathematics
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K.D. Elworthy, Steven Rosenberg (1991)
Inventiones mathematicae
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Existence of flats in manifolds of nonpositive curvature.
V. Schroeder, M.T. Anderson (1986)
Inventiones mathematicae
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Existence of Polarized F-structures on Collapsed Manifolds with Bounded Curvature and Diameter.
J. Cheeger, X. Rong (1996)
Geometric and functional analysis
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Sasakian manifolds with vanishing contact Bochner curvature tensor and constant scalar curvature
Toshihiko Ikawa, Masahiro Kon (1977)
Colloquium Mathematicae
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How to produce a Ricci flow via Cheeger–Gromoll exhaustion
Esther Cabezas-Rivas, Burkhard Wilking (2015)
Journal of the European Mathematical Society
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We prove short time existence for the Ricci flow on open manifolds of non-negative complex sectional curvature without requiring upper curvature bounds. By considering the doubling of convex sets contained in a Cheeger–Gromoll convex exhaustion and solving the singular initial value problem for the Ricci flow on these closed manifolds, we obtain a sequence of closed solutions of the Ricci flow with non-negative complex sectional curvature which subconverge to a Ricci flow on the open...