The Cotton Tensor and the Ricci Flow

Carlo Mantegazza; Samuele Mongodi; Michele Rimoldi

Geometric Flows (2017)

  • Volume: 2, Issue: 1
  • ISSN: 2353-3382

Abstract

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We compute the evolution equation of the Cotton and the Bach tensor under the Ricci flow of a Riemannian manifold, with particular attention to the three dimensional case, and we discuss some applications.

How to cite

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Carlo Mantegazza, Samuele Mongodi, and Michele Rimoldi. "The Cotton Tensor and the Ricci Flow." Geometric Flows 2.1 (2017): null. <http://eudml.org/doc/288287>.

@article{CarloMantegazza2017,
abstract = {We compute the evolution equation of the Cotton and the Bach tensor under the Ricci flow of a Riemannian manifold, with particular attention to the three dimensional case, and we discuss some applications.},
author = {Carlo Mantegazza, Samuele Mongodi, Michele Rimoldi},
journal = {Geometric Flows},
keywords = {Ricci flow; Cotton tensor; Bach tensor; Ricci solitons},
language = {eng},
number = {1},
pages = {null},
title = {The Cotton Tensor and the Ricci Flow},
url = {http://eudml.org/doc/288287},
volume = {2},
year = {2017},
}

TY - JOUR
AU - Carlo Mantegazza
AU - Samuele Mongodi
AU - Michele Rimoldi
TI - The Cotton Tensor and the Ricci Flow
JO - Geometric Flows
PY - 2017
VL - 2
IS - 1
SP - null
AB - We compute the evolution equation of the Cotton and the Bach tensor under the Ricci flow of a Riemannian manifold, with particular attention to the three dimensional case, and we discuss some applications.
LA - eng
KW - Ricci flow; Cotton tensor; Bach tensor; Ricci solitons
UR - http://eudml.org/doc/288287
ER -

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