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The Horizontal Heat Kernel on the Quaternionic Anti-De Sitter Spaces and Related Twistor Spaces
Authors:Baudoin  Fabrice  Demni  Nizar  Wang  Jing
Institution:1.Department of Mathematics, University of Connecticut, 341 Mansfield Road, Storrs, CT, 06269-1009, USA
;2.Institut de Recherche Mathematique de Rennes, Universite de Rennes 1, Campus de Beaulieu, 35042, Rennes, France
;3.Purdue University, 150 N. University Street, West Lafayette, IN, 47907, USA
;
Abstract:Potential Analysis - The geometry of the quaternionic anti-de Sitter fibration is studied in details. As a consequence, we obtain formulas for the horizontal Laplacian and subelliptic heat kernel...
Keywords:
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