Evolution of \(\mathcal{I}\)-functional and \(\omega\)-entropy functional for the conformal Ricci flow. (English) Zbl 1316.53075

Basu, Nirabhra; Bhattacharyya, Arindam

Acta Univ. Sapientiae, Math. 6, No. 2, 209-216 (2014).

Summary: In this paper we define the \(\mathcal I\)-functional and the \(\omega\)-entropy functional for the conformal Ricci flow and see how they evolve according to time.

MSC:

53C44	Geometric evolution equations (mean curvature flow, Ricci flow, etc.) (MSC2010)
35K65	Degenerate parabolic equations
58D17	Manifolds of metrics (especially Riemannian)

Keywords:

Ricci flow; conformal Ricci flow; entropy functional

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