The Weighted Connection and Sectional Curvature for Manifolds With Density

Lee Kennard, William Wylie, Dmytro Yeroshkin

Type: Article

Publication Date: 2018-04-24

Citations: 7

DOI: https://doi.org/10.1007/s12220-018-0025-3

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arXiv (Cornell University) - View - PDF
Journal of Geometric Analysis - View

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+	Intrinsic and extrinsic comparison results for isoperimetric quotients and capacities in weighted manifolds	2020	Ana Hurtado Vicente Palmer César Rosales
+ PDF Chat	Curvature-dimension bounds for Lorentzian splitting theorems	2018	Eric Woolgar William Wylie
+ PDF Chat	The weighted mixed curvature of a foliated manifold	2019	Vladimir Rovenski
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+	A new notion on weighted Riemann curvature	2022	Yi Li
+	Intrinsic and extrinsic comparison results for isoperimetric quotients and capacities in weighted manifolds	2019	Ana Hurtado Vicente Palmer César Rosales
+	Ricci Flow on Torus Bundles	2021	Dmytro Yeroshkin

Works Cited by This (29)

Action	Title	Year	Authors
+ PDF Chat	A general comparison theorem with applications to volume estimates for submanifolds	1978	Ernst Heintze Hermann Karcher
+	Convergence Theorems in Riemannian Geometry	1997	Peter Petersen
+ PDF Chat	Differential topological restrictions curvature and symmetry	1997	Karsten Grove Catherine Searle
+ PDF Chat	Some curvature pinching results for Riemannian manifolds with density	2015	William Wylie
+	Riemannian tori without conjugate points are flat	1994	Dmitri Burago S. V. Ivanov
+	Compact Homogeneous Riemannian Manifolds with Strictly Positive Curvature	1972	Nolan R. Wallach
+	An exotic sphere with positive curvature almost everywhere	2001	Frederick Wilhelm
+	Positively curved manifolds with maximal symmetry-rank	1994	Karsten Grove Catherine Searle
+ PDF Chat	On a theorem of Preissmann	1970	William P. Byers
+	Manifolds with positive sectional curvature almost everywhere	2002	Burkhard Wilking