Results 31 to 40 of about 3,177,995 (232)
The Soliton-Ricci Flow with variable volume forms
Complex Manifolds, 2016 We introduce a flow of Riemannian metrics and positive volume forms over compact oriented manifolds whose formal limit is a shrinking Ricci soliton. The case of a fixed volume form has been considered in our previouswork.We still call this new flow, the ...
Pali Nefton
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Metric Perspectives of the Ricci Flow Appliedto Disjoint Unions
Analysis and Geometry in Metric Spaces, 2014 In this paper we consider compact, Riemannian manifolds M1, M2 each equipped with a oneparameterfamily of metrics g1(t), g2(t) satisfying the Ricci flow equation.
Lakzian Sajjad, Munn Michael
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Cobordism, singularities and the Ricci flow conjecture
Journal of High Energy Physics, 2023 In the following work, an attempt to conciliate the Ricci flow conjecture and the Cobordism conjecture, stated as refinements of the Swampland distance conjecture and of the No global symmetries conjecture respectively, is presented.
David Martín Velázquez +2 more
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Modified Ricci flow on a principal bundle [PDF]
, 2008 textLet M be a Riemannian manifold with metric g, and let P be a principal G-bundle over M having connection one-form a. One can define a modified version of the Ricci flow on P by fixing the size of the fiber.
Young, Andrea Nicole, 1979-
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A MECHANICS FOR THE RICCI FLOW
International Journal of Geometric Methods in Modern Physics, 2009 We construct the classical mechanics associated with a conformally flat Riemannian metric on a compact, n-dimensional manifold without boundary. The corresponding gradient Ricci flow equation turns out to equal the time-dependent Hamilton–Jacobi equation of the mechanics so defined.
Abraham, S. +3 more
openaire +3 more sources
On the stability of harmonic maps under the homogeneous Ricci flow
Complex Manifolds, 2018 In this work we study properties of stability and non-stability of harmonic maps under the homogeneous Ricci flow.We provide examples where the stability (non-stability) is preserved under the Ricci flow and an example where the Ricci flow does not ...
Prado Rafaela F. do, Grama Lino
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Characterizations of Trivial Ricci Solitons
Advances in Mathematical Physics, 2020 Finding characterizations of trivial solitons is an important problem in geometry of Ricci solitons. In this paper, we find several characterizations of a trivial Ricci soliton.
Sharief Deshmukh +2 more
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L-optimal transportation for Ricci flow [PDF]
, 2009 We introduce the notion of L-optimal transportation, and use it to construct a natural monotonic quantity for Ricci flow which includes a selection of other monotonicity results, including some key discoveries of Perelman [13] (both related to entropy ...
Topping, Peter
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The volume entropy of a surface decreases along the Ricci flow [PDF]
, 2004 The volume entropy, h(g), of a compact Riemannian manifold (M,g) measures the growth rate of the volume of a ball of radius R in its universal cover.
Manning, Anthony, ANTHONY MANNING
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Nontrivial breathers for Ricci flow [PDF]
, 2023 Perelman has proved that there cannot exist a nontrivial breather for Ricci flow on a closed manifold. Here we construct nontrivial expanding breathers for Ricci flow in all dimensions when the underlying manifold is allowed to be ...
Topping, Peter
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