The Heat Kernels on Some Classical Manifolds and Classical Domains

Authors
Guoqiang, Wang Yi, Hong
Citation
Guoqiang, Wang et Yi, Hong, The Heat Kernels on Some Classical Manifolds and Classical Domains, Acta Mathematica Sinica, New Series Chinese Journal of Mathematics, 7(4), 1991, pp. 324-341
Journal title
Acta Mathematica Sinica, New Series Chinese Journal of Mathematics → ACNP
ISSN journal
10009574
Volume
7
Issue
4
Year of publication
1991
Pages
324 - 341
Database
ACNP
SICI code
Abstract
In this paper, by the method used in 17.9. 10]. we construct the heat kernels (i.e. the fundamental solutions of the heat equation) of the following spaces: the quaternion hyperbolic space Sp (1. n)/Sp (1)x Sp(n), the quaternion classical domain of type III Sp (n.C)/Sp (n), the complex Grassmannian manifold U (m+n)/U (m) x U(n).