Curvature cones and the Ricci flow.

Thomas Richard[1]

  • [1] Room 659, Huxley Building Mathematics Department Imperial College London SW7 2AZ (UK)

Séminaire de théorie spectrale et géométrie (2012-2014)

  • Volume: 31, page 197-220
  • ISSN: 1624-5458

Abstract

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This survey reviews some facts about nonnegativity conditions on the curvature tensor of a Riemannian manifold which are preserved by the action of the Ricci flow. The text focuses on two main points.First we describe the known examples of preserved curvature conditions and how they have been used to derive geometric results, in particular sphere theorems.We then describe some recent results which give restrictions on general preserved conditions.The paper ends with some open questions on these matters.

How to cite

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Richard, Thomas. "Curvature cones and the Ricci flow.." Séminaire de théorie spectrale et géométrie 31 (2012-2014): 197-220. <http://eudml.org/doc/275718>.

@article{Richard2012-2014,
abstract = {This survey reviews some facts about nonnegativity conditions on the curvature tensor of a Riemannian manifold which are preserved by the action of the Ricci flow. The text focuses on two main points.First we describe the known examples of preserved curvature conditions and how they have been used to derive geometric results, in particular sphere theorems.We then describe some recent results which give restrictions on general preserved conditions.The paper ends with some open questions on these matters.},
affiliation = {Room 659, Huxley Building Mathematics Department Imperial College London SW7 2AZ (UK)},
author = {Richard, Thomas},
journal = {Séminaire de théorie spectrale et géométrie},
language = {eng},
pages = {197-220},
publisher = {Institut Fourier},
title = {Curvature cones and the Ricci flow.},
url = {http://eudml.org/doc/275718},
volume = {31},
year = {2012-2014},
}

TY - JOUR
AU - Richard, Thomas
TI - Curvature cones and the Ricci flow.
JO - Séminaire de théorie spectrale et géométrie
PY - 2012-2014
PB - Institut Fourier
VL - 31
SP - 197
EP - 220
AB - This survey reviews some facts about nonnegativity conditions on the curvature tensor of a Riemannian manifold which are preserved by the action of the Ricci flow. The text focuses on two main points.First we describe the known examples of preserved curvature conditions and how they have been used to derive geometric results, in particular sphere theorems.We then describe some recent results which give restrictions on general preserved conditions.The paper ends with some open questions on these matters.
LA - eng
UR - http://eudml.org/doc/275718
ER -

References

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