678 research outputs found
Szeg\H{o} kernel asymptotic expansion on CR manifolds with action
Let be a compact connected strongly pseudoconvex CR manifold of dimension
with a transversal CR action on . We establish an
asymptotic expansion for the -th Fourier component of the Szeg\H{o} kernel
function as , where the expansion involves a contribution
in terms of a distance function from lower dimensional strata of the
action. We also obtain explicit formulas for the first three coefficients of
the expansion.Comment: 27pages, final version, to appear in the International journal of
mathematic
On the stability of equivariant embedding of compact CR manifolds with circle action
We prove the stability of the equivariant embedding of compact strictly
pseudoconvex CR manifolds with transversal CR circle action under circle
invariant perturbations of the CR structures.Comment: 21 pages, final versio
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