Using tools from Lorentzian geometry (arising 1 from the presence of the Fefferman metric) we prove a Takahashi type theorem (for a class of pseudohermitian immersions covered by connection-preserving equivariant immersions among the total spaces of the canonical circle bundles) thus relating the geometry of a pseudohermitian immersion from a strictly pseudoconvex CR manifold M into an odd dimensional sphere, to the spectrum of the sublaplacian on M.
CR immersions and Lorentzian geometry Part II: A Takahashi type theorem
DRAGOMIR, Sorin;
2013-01-01
Abstract
Using tools from Lorentzian geometry (arising 1 from the presence of the Fefferman metric) we prove a Takahashi type theorem (for a class of pseudohermitian immersions covered by connection-preserving equivariant immersions among the total spaces of the canonical circle bundles) thus relating the geometry of a pseudohermitian immersion from a strictly pseudoconvex CR manifold M into an odd dimensional sphere, to the spectrum of the sublaplacian on M.File in questo prodotto:
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