Generalized cross curvature flow

DOI10.1134/S1995080222060051zbMath1501.53100arXiv2105.11907OpenAlexW3164052422MaRDI QIDQ2172871

Shahroud Azami

Publication date: 19 September 2022

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.11907

zbMATH Keywords

nonlinear evolution equationcurvature flowshort-time existence

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Geometric evolution equations (53E99)

Cites Work

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• The Ricci-Bourguignon flow
• Hyperbolic geometric flow. I: Short-time existence and nonlinear stability
• Cross curvature flow on locally homogeneous three-manifolds. I.
• Cross curvature flow on locally homogeneous three-manifolds. II.
• Deforming metrics in the direction of their Ricci tensors
• Three-manifolds with positive Ricci curvature
• Examples for cross curvature flow on 3-manifolds
• Short-time existence of solutions to the cross curvature flow on 3-manifolds
• Riemannian Groupoids and Solitons for Three-Dimensional Homogeneous Ricci and Cross-Curvature Flows
• Asymptotic stability of the cross curvature flow at a hyperbolic metric
• Harmonic Mappings of Riemannian Manifolds

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