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Heat Invariant E 2 for Nonminimal Operator on Manifolds with Torsion

In: Computer Algebra in Scientific Computing

Author

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  • Vladimir V. Kornyak

    (Joint Institute for Nuclear Research, Laboratory of Computing Techniques and Automation)

Abstract

Computer algebra methods are applied to the 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 operators on manifolds with nonzero torsion. The expressions were computed for the 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.

Suggested Citation

  • Vladimir V. Kornyak, 2000. "Heat Invariant E 2 for Nonminimal Operator on Manifolds with Torsion," Springer Books, in: Victor G. Ganzha & Ernst W. Mayr & Evgenii V. Vorozhtsov (ed.), Computer Algebra in Scientific Computing, pages 273-284, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-57201-2_21
    DOI: 10.1007/978-3-642-57201-2_21
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