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math.AP2011
Growth of heat trace and heat content asymptotic coefficients
M. van den Berg, Peter Gilkey, K. Kirsten
We show in the smooth category that the heat trace asymptotics and the heat content asymptotics can be made to grow arbitrarily rapidly. In the real analytic context, however, this…
math.DG2011★ 5 cited
Universal curvature identities
P. Gilkey, J. H. Park, K. Sekigawa
We study scalar and symmetric 2-form valued universal curvature identities. We use this to establish the Gauss-Bonnet theorem using heat equation methods, to give a new proof of a…