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Based on the idea of adiabatic expansion theory, we will present a new formula for the asymptotic expansion coefficients of every derivative of the heat kernel on a compact Riemannian… Click to show full abstract
Based on the idea of adiabatic expansion theory, we will present a new formula for the asymptotic expansion coefficients of every derivative of the heat kernel on a compact Riemannian manifold. It will be very useful for having systematic understanding of the coefficients, and, furthermore, by using only a basic knowledge of calculus added to the formula, one can describe them explicitly up to an arbitrarily high order.
Keywords:
formula heat;
coefficients riemannian;
heat kernel;
riemannian manifolds;
kernel coefficients
Journal Title: Tohoku Mathematical Journal
Year Published: 2020
Link to full text (if available)
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Journal Title: Tohoku Mathematical Journal
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!