<lift:loc locid="stock.discuss"></lift:loc>
Singularities of Connection Ricci Flow and Ricci Harmonic Flow
Pengshuai Shi, 2013.09.23
http://arxiv.org/abs/1309.5684
In this paper, we study the singularities of two extended Ricci flow systems --- connection Ricci flow and Ricci harmonic flow using newly-defined curvature quantities. Specifically, we give the definition of three types of singularities and their corresponding singularity models, and then prove the convergence. In addition, for Ricci harmonic flow, we use the monotonicity of functional $\nu_\alpha$ to show the connection between finite-time singularity and shrinking Ricci harmonic soliton. At last, we explore the property of ancient solutions for Ricci harmonic flow.
Discussions
notes
tags
  • Pls. be polite and constructive.
  • You can input La|TeX for math formulas. E.g. $$x = {-b \pm \sqrt{b^2-4ac} \over 2a}$$
  • Any attachment files should still be uploaded to arXiv.org