The eternal solution to the cross curvature flow exists in 3-manifolds of negative sectional curvature

TURKISH JOURNAL OF MATHEMATICS ◽

10.3906/mat-1812-90 ◽

2019 ◽

Vol 43 (5) ◽

pp. 2444-2450

Author(s):

Wei-Hung LIAO

Keyword(s):

Sectional Curvature ◽

Curvature Flow ◽

The Cross ◽

Cross Curvature Flow ◽

Negative Sectional Curvature

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Short-time existence of solutions to the cross curvature flow on 3-manifolds

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-05-08204-3 ◽

2005 ◽

Vol 134 (6) ◽

pp. 1803-1807 ◽

Author(s):

John A. Buckland

Keyword(s):

Existence Of Solutions ◽

Curvature Flow ◽

The Cross ◽

Cross Curvature Flow ◽

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On the cross curvature flow

Differential Geometry and its Applications ◽

10.1016/j.difgeo.2020.101636 ◽

2020 ◽

Vol 71 ◽

pp. 101636

Author(s):

Pak Tung Ho ◽

Jinwoo Shin

Keyword(s):

Curvature Flow ◽

The Cross ◽

Cross Curvature Flow

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Negatively Curved Three-Manifolds, Hyperbolic Metrics, Isometric Embeddings in Minkowski Space and the Cross Curvature Flow

Differential Geometry in the Large ◽

10.1017/9781108884136.005 ◽

2020 ◽

pp. 75-97

Author(s):

Paul Bryan ◽

Mohammad Ivaki ◽

Julian Scheuer

Keyword(s):

Minkowski Space ◽

Curvature Flow ◽

Hyperbolic Metrics ◽

Negatively Curved ◽

Isometric Embeddings ◽

The Cross ◽

Cross Curvature Flow

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Asymptotic stability of the cross curvature flow at a hyperbolic metric

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-08-09534-8 ◽

2008 ◽

Vol 137 (02) ◽

pp. 699-709 ◽

Author(s):

Dan Knopf ◽

Andrea Young

Keyword(s):

Asymptotic Stability ◽

Curvature Flow ◽

Hyperbolic Metric ◽

The Cross ◽

Cross Curvature Flow

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Complete homogeneous riemannian manifolds of negative sectional curvature

Commentarii Mathematici Helvetici ◽

10.1007/bf02565738 ◽

1975 ◽

Vol 50 (1) ◽

pp. 115-122 ◽

Author(s):

Su-Shing Chen

Keyword(s):

Sectional Curvature ◽

Riemannian Manifolds ◽

Homogeneous Riemannian Manifolds ◽

Negative Sectional Curvature

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Moduli spaces of Riemannian metrics with negative sectional curvature

Oberwolfach Seminars - Moduli Spaces of Riemannian Metrics ◽

10.1007/978-3-0348-0948-1_9 ◽

2015 ◽

pp. 89-92

Author(s):

Wilderich Tuschmann ◽

David J. Wraith

Keyword(s):

Sectional Curvature ◽

Moduli Spaces ◽

Riemannian Metrics ◽

Negative Sectional Curvature

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Non-negative sectional curvature moduli spaces on open manifolds

Oberwolfach Seminars - Moduli Spaces of Riemannian Metrics ◽

10.1007/978-3-0348-0948-1_10 ◽

2015 ◽

pp. 93-98

Author(s):

Wilderich Tuschmann ◽

David J. Wraith

Keyword(s):

Sectional Curvature ◽

Moduli Spaces ◽

Open Manifolds ◽

Negative Sectional Curvature

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Geometry of Manifolds with Non-negative Sectional Curvature

10.1007/978-3-319-06373-7 ◽

2014 ◽

Author(s):

Owen Dearricott ◽

Fernando Galaz-García ◽

Lee Kennard ◽

Catherine Searle ◽

Gregor Weingart ◽

...

Keyword(s):

Sectional Curvature ◽

Negative Sectional Curvature

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Stable minimal hypersurfaces in a Riemannian manifold with pinched negative sectional curvature

Annals of Global Analysis and Geometry ◽

10.1007/s10455-011-9293-x ◽

2011 ◽

Vol 41 (4) ◽

pp. 447-460 ◽

Author(s):

Nguyen Thac Dung ◽

Keomkyo Seo

Keyword(s):

Riemannian Manifold ◽

Sectional Curvature ◽

Minimal Hypersurfaces ◽

Negative Sectional Curvature

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Blow-up of solutions to semilinear parabolic equations on Riemannian manifolds with negative sectional curvature

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2011.09.043 ◽

2012 ◽

Vol 387 (2) ◽

pp. 815-827 ◽

Author(s):

Fabio Punzo

Keyword(s):

Sectional Curvature ◽

Riemannian Manifolds ◽

Parabolic Equations ◽

Blow Up ◽

Semilinear Parabolic Equations ◽

Semilinear Parabolic ◽

Negative Sectional Curvature

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