2000 character limit reached
The horizontal heat kernel on the quaternionic anti de-Sitter spaces and related twistor spaces
Published 17 May 2018 in math.DG, math-ph, math.AP, and math.MP | (1805.06796v1)
Abstract: 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 of the fibration. The heat kernel formula is explicit enough to derive small time asymptotics. Related twistor spaces and corresponding heat kernels are also discussed and the connection to the quaternionic magnetic Laplacian is done.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.