Heat Invariant E_2 for Nonminimal Operator on Manifolds with Torsion
Kornyak, Vladimir V.
arXiv, 0004085 / Harvested from arXiv
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/