On the Large Time Behavior of Heat Kernels on Lie Groups

Heat Kernels, Symplectic Geometry, Moduli Spaces and Finite Groups

In this note we want to discuss some applications of heat kernels in symplectic geometry, moduli spaces and finite groups. More precisely we will prove the nonabelian localization formula in symplectic geometry, derive formulas for the symplectic volume and intersection numbers of the moduli space of flat connections on a Riemann surface, and obtain several quite general formulas for the number...

Wrapping Brownian motion and heat kernels on compact Lie groups

Einstein structures on four-dimensional nutral Lie groups

When Einstein was thinking about the theory of general relativity based on the elimination of especial relativity constraints (especially the geometric relationship of space and time), he understood the first limitation of especial relativity is ignoring changes over time. Because in especial relativity, only the curvature of the space was considered. Therefore, tensor calculations should be to...

The Heat Kernel for H-type Groups

Theorem 1 gives an explicit formula for the heat kernel on an H -type group. Folland (2] has shown that for stratified nilpotent Lie groups the heat semigroup is a semigroup of kernel operators on LP, 1 5 p < oo and on Co. Cygan (1] has obtained formulas for heat kernels for any two step nilpotent simply connected Lie group. Cygan found the heat kernel for a free simply connected two step nilpo...

An Assessment of Changes in Open-Field and Elevated Plus-Maze Behavior Following Heat Stress in Rats

This paper presents the effect of high environmental heat on behavior of the male Charles Foster rats. Eighty rats were divided into three groups, subjected to (i) acute heat stress (ii) chronic heat stress and (iii) handling control group. Animals were exposed to the hot environment in a biological oxygen demand incubator at 38 ± 1ºC (relative humidity 45-50%) for four hours of continuous sing...