On Tian-Todorov lemma and its applications to deformation of CR-structures

2019/03/28 by Sheng Rao, Rao, Sheng, Yongpan Zou +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Advanced Topics in Algebra #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1903.11877

openalex publication_date 2019/03/28 · openalex created_date 2019/04/01 · openalex updated_date 2026/07/28

Abstract

We give a new Tian-Todorov lemma on deformations of CR-structures and use it to reprove the deformation unobstructedness of normal compact strongly pseudoconvex CR-manifold under the assumption of d'd''-lemma, more faithfully following Tian-Todorov's approach.

Citations

• Generalized Complex Geometry

Cited by

• BCOV on the Large Hilbert Space

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