On singularities of generically immersive holomorphic maps between complex hyperbolic space forms
DOI10.1007/978-3-642-20300-8_16zbMath1266.53047OpenAlexW152699704MaRDI QIDQ3098628
Publication date: 18 November 2011
Published in: Complex and Differential Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-642-20300-8_16
holomorphic mapholomorphic isometrycomplex Hessianholomorphic immersioncommutation formulacomplex hyperbolic space formleafwise contracting holomorphic maptotal geodesy
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Rigidity results (53C24) Differential geometry of symmetric spaces (53C35)
Cites Work
- Holomorphic immersions between compact hyperbolic space forms
- Einstein Kaehler submanifolds of a complex linear or hyperbolic space
- Total geodesy of proper holomorphic immersions between complex hyperbolic space forms of finite volume
- On compactifications of the quotient spaces for arithmetically defined discontinuous groups
- Immersions and imbeddings in complex projective spaces
- Compactification of arithmetic quotients of bounded symmetric domains
- Projective Algebraicity of Minimal Compactifications of Complex-Hyperbolic Space Forms of Finite Volume
- Nonexistence of holomorphic submersions between complex unit balls equivariant with respect to a lattice and their generalizations
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