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Flow by mean curvature inside a moving ambient space |
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| Authors: | Annibale Magni Carlo Mantegazza Efstratios Tsatis |
| Institution: | 1. Mathematisches Institut, Abt. für Reine Mathematik, Albert–Ludwigs–Universit?t, Eckerstrasse 1, 79104, Freiburg im Breisgau, Germany 2. Scuola Normale Superiore di Pisa, Piazza dei Cavalieri 7, 56126, Pisa, Italy 3. Department of Mathematics, University of Patras, Patras, 26500, Greece |
| Abstract: | We show some computations related to the motion by mean curvature flow of a submanifold inside an ambient Riemannian manifold evolving by Ricci or backward Ricci flow. Special emphasis is given to the possible generalization of Huisken’s monotonicity formula and its connection with the validity of some Li–Yau–Hamilton differential Harnack-type inequalities in a moving Riemannian manifold. |
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