This paper is devoted to the study of critical metrics of the trace of the heat kernel on a compact manifold. We obtain various characterizations of such metrics and investigate their geometric properties. We also give a complete classification of critical metrics on surfaces of genus zero and one.
Publié le : 2002-07-05
Classification:
Laplacian,
Heat kernel,
Determinant of the Laplacian,
Critical metrics,
[MATH.MATH-MG]Mathematics [math]/Metric Geometry [math.MG]
@article{hal-00002873,
author = {El Soufi, Ahmad and Ilias, Sa\"\i d},
title = {CRITICAL METRICS OF THE TRACE OF THE HEAT KERNEL ON A COMPACT MANIFOLD},
journal = {HAL},
volume = {2002},
number = {0},
year = {2002},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00002873}
}
El Soufi, Ahmad; Ilias, Saïd. CRITICAL METRICS OF THE TRACE OF THE HEAT KERNEL ON A COMPACT MANIFOLD. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-00002873/