2000/04/13 by Vladimir V. Kornyak, Kornyak, Vladimir V.
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical Analysis (math.NA) #Numerical methods in inverse problems #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics
paper · pdf · doi:10.48550/arxiv.math/0004085
openalex publication_date 2000/04/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 (E2) 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 E2 case n=2. The calculations have been carried out on PC with the help of a program written in C.