The Evolution of the Weyl Tensor under the Ricci Flow

Giovanni Catino[1]; Carlo Mantegazza[2]

  • [1] SISSA International School for Advanced Studies Via Bonomea 265 Trieste 34136 (Italy)
  • [2] Scuola Normale Superiore di Pisa P.za Cavalieri 7 Pisa 56126 (Italy)

Annales de l’institut Fourier (2011)

  • Volume: 61, Issue: 4, page 1407-1435
  • ISSN: 0373-0956

Abstract

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We compute the evolution equation of the Weyl tensor under the Ricci flow of a Riemannian manifold and we discuss some consequences for the classification of locally conformally flat Ricci solitons.

How to cite

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Catino, Giovanni, and Mantegazza, Carlo. "The Evolution of the Weyl Tensor under the Ricci Flow." Annales de l’institut Fourier 61.4 (2011): 1407-1435. <http://eudml.org/doc/219748>.

@article{Catino2011,
abstract = {We compute the evolution equation of the Weyl tensor under the Ricci flow of a Riemannian manifold and we discuss some consequences for the classification of locally conformally flat Ricci solitons.},
affiliation = {SISSA International School for Advanced Studies Via Bonomea 265 Trieste 34136 (Italy); Scuola Normale Superiore di Pisa P.za Cavalieri 7 Pisa 56126 (Italy)},
author = {Catino, Giovanni, Mantegazza, Carlo},
journal = {Annales de l’institut Fourier},
keywords = {Ricci solitons; singularity of Ricci flow},
language = {eng},
number = {4},
pages = {1407-1435},
publisher = {Association des Annales de l’institut Fourier},
title = {The Evolution of the Weyl Tensor under the Ricci Flow},
url = {http://eudml.org/doc/219748},
volume = {61},
year = {2011},
}

TY - JOUR
AU - Catino, Giovanni
AU - Mantegazza, Carlo
TI - The Evolution of the Weyl Tensor under the Ricci Flow
JO - Annales de l’institut Fourier
PY - 2011
PB - Association des Annales de l’institut Fourier
VL - 61
IS - 4
SP - 1407
EP - 1435
AB - We compute the evolution equation of the Weyl tensor under the Ricci flow of a Riemannian manifold and we discuss some consequences for the classification of locally conformally flat Ricci solitons.
LA - eng
KW - Ricci solitons; singularity of Ricci flow
UR - http://eudml.org/doc/219748
ER -

References

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