Heat Invariant E_2 for Nonminimal Operator on Manifolds with Torsion

Details Heat Invariant E_2 for Nonminimal Operator on Manifolds with Torsion Heat Invariant E_2 for Nonminimal Operator on Manifolds with Torsion

2000-04-13

arxiv.org/abs/math/0004085v1

Mathematics

Numerical Analysis

12 pages, LaTeX, uses the Springer file lncse.cls, talk prepared to the Workshop on Computer Algebra in Scientific Computing,

Scientific paper

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.

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