Computer algebra methods are applied to investigation of spectral asymptotics
of elliptic differential operators on curved manifolds with torsion and in the
presence of a gauge field. In this paper we present complete expressions for
the second coefficient (E_2) in the heat kernel expansion for nonminimal
operator on manifolds with nonzero torsion. The expressions were computed for
general case of manifolds of arbitrary dimension n and also for the most
important for E_2 case n=2. The calculations have been carried out on PC with
the help of a program written in C.
Publié le : 2000-04-13
Classification:
Mathematics - Numerical Analysis,
Mathematical Physics,
Mathematics - Differential Geometry,
Mathematics - Spectral Theory
@article{0004085,
author = {Kornyak, Vladimir V.},
title = {Heat Invariant E\_2 for Nonminimal Operator on Manifolds with Torsion},
journal = {arXiv},
volume = {2000},
number = {0},
year = {2000},
language = {en},
url = {http://dml.mathdoc.fr/item/0004085}
}
Kornyak, Vladimir V. Heat Invariant E_2 for Nonminimal Operator on Manifolds with Torsion. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0004085/