The Calabi functional on a ruled surface

Gábor Székelyhidi

Annales scientifiques de l'École Normale Supérieure (2009)

  • Volume: 42, Issue: 5, page 837-856
  • ISSN: 0012-9593

Abstract

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We study the Calabi functional on a ruled surface over a genus two curve. For polarizations which do not admit an extremal metric we describe the behavior of a minimizing sequence splitting the manifold into pieces. We also show that the Calabi flow starting from a metric with suitable symmetry gives such a minimizing sequence.

How to cite

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Székelyhidi, Gábor. "The Calabi functional on a ruled surface." Annales scientifiques de l'École Normale Supérieure 42.5 (2009): 837-856. <http://eudml.org/doc/272158>.

@article{Székelyhidi2009,
abstract = {We study the Calabi functional on a ruled surface over a genus two curve. For polarizations which do not admit an extremal metric we describe the behavior of a minimizing sequence splitting the manifold into pieces. We also show that the Calabi flow starting from a metric with suitable symmetry gives such a minimizing sequence.},
author = {Székelyhidi, Gábor},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {Calabi functional; Calabi flow},
language = {eng},
number = {5},
pages = {837-856},
publisher = {Société mathématique de France},
title = {The Calabi functional on a ruled surface},
url = {http://eudml.org/doc/272158},
volume = {42},
year = {2009},
}

TY - JOUR
AU - Székelyhidi, Gábor
TI - The Calabi functional on a ruled surface
JO - Annales scientifiques de l'École Normale Supérieure
PY - 2009
PB - Société mathématique de France
VL - 42
IS - 5
SP - 837
EP - 856
AB - We study the Calabi functional on a ruled surface over a genus two curve. For polarizations which do not admit an extremal metric we describe the behavior of a minimizing sequence splitting the manifold into pieces. We also show that the Calabi flow starting from a metric with suitable symmetry gives such a minimizing sequence.
LA - eng
KW - Calabi functional; Calabi flow
UR - http://eudml.org/doc/272158
ER -

References

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