A stability theorem for projective CR manifolds

DOI10.1080/17476933.2020.1857371zbMath1487.32189arXiv2004.12967OpenAlexW3114608125MaRDI QIDQ5071708

Judith Brinkschulte, Clyde Denson Hill, Mauro Nacinovich

Publication date: 22 April 2022

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.12967

zbMATH Keywords

projective embeddingspseudoconcave CR manifoldsstability of embeddingsCR embeddability of abstract CR structures

Mathematics Subject Classification ID

(q)-convexity, (q)-concavity (32F10) Embeddings of CR manifolds (32V30) Analysis on CR manifolds (32V20) Deformations of special (e.g., CR) structures (32G07)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Non completely solvable systems of complex first order PDE's
• Pluriharmonic functions on abstract CR manifolds
• Versal embeddings of compact 3-pseudoconcave CR submanifolds
• Complex analytic coordinates in almost complex manifolds
• A note on the instability of embeddings of Cauchy-Riemann manifolds
• Embedding of three dimensional Cauchy-Riemann manifolds
• Quasi-potentials and Kähler-Einstein metrics on flag manifolds
• A weak pseudoconcavity condition for abstract almost CR manifolds
• Flexible and inflexible \(CR\) submanifolds
• Sobolev spaces on Riemannian manifolds
• On the existence of local frames of CR vector bundles
• Aspects of the Levi form
• Inflexible \(CR\) submanifolds
• Fields of CR meromorphic functions
• Toward a numerical theory of ampleness
• Intrinsic deformation theory of CR structures
• Characteristic Classes and Homogeneous Spaces, I
• Théorèmes de finitude pour la cohomologie des espaces complexes
• ON A QUESTION OF HANS LEWY
• Non locally trivializable CR line bundles over compact Lorentzian CR manifolds
• The action of a real semisimple group on a complex flag manifold. I: Orbit structure and holomorphic arc components
• On Matrices whose Nontrivial Real Linear Combinations are Nonsingular

This page was built for publication: A stability theorem for projective CR manifolds