Deformations of complex structures on \(\Gamma\backslash SL_ 2(\mathbb{C})\)

DOI10.1007/BF02863419zbMath0837.11034OpenAlexW2015485004MaRDI QIDQ1331189

C. S. Rajan

Publication date: 14 August 1994

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02863419

zbMATH Keywords

complex structurefirst Betti numbercompact hyperbolic manifoldnontrivial deformationstorsionfree cocompact lattice

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Cohomology of arithmetic groups (11F75)

Related Items (3)

On the Teichmüller stack of compact quotients of \(\mathrm{SL}_2 (\mathbb{C})\) ⋮ Stable Higgs bundles on compact Gauduchon manifolds ⋮ Complex analytic geometry of complex parallelizable manifolds

Cites Work

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• Geometric construction of cohomology for arithmetic groups. I
• On liftings and cusp cohomology of arithmetic groups
• On the first Betti number of a constant negatively curved manifold
• Vanishing theorems for cohomology groups associated to discrete subgroups of semisimple Lie groups
• One-dimensional cohomologies of discrete subgroups

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