Explorations in Complex and Riemannian Geometry : A Volume Dedicated to Robert E. Greene.
- 1st ed.
- 1 online resource (338 pages)
- Contemporary Mathematics ; v.332 .
- Contemporary Mathematics .
Intro -- Contents -- Preface -- Bergman kernels related to Hermitian line bundles over compact complex manifolds -- A gentle introduction to points of finite type on real hypersurfaces -- The moduli space of 2-step nilpotent Lie algebras of type (p, q) -- The homotopy principle in complex analysis: A survey -- Finiteness theorems in riemannian geometry -- Generalized Toponogov's theorem for manifolds with radial curvature bounded below -- The global isometric embedding problem -- The Bergman metric invariants and their boundary behavior -- Natural connections in almost complex manifolds -- The generalized triangle inequalities for rank 3 symmetric spaces of noncompact type -- Subelliptic estimates and scaling in the ∂-Neumann problem -- Negativity of curvature on spaces parametrizing Hodge decompositions of reduced first cohomology groups -- On the extension of L2 holomorphic functions VI - a limiting case -- Variations on a theme of Synge -- Mappings between real submanifolds in complex space -- Harmonic analysis on toric varieties -- On complex manifolds with noncompact automorphism groups -- Kähler manifolds with slightly positive bisectional curvature.
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Geometry, Differential. Functions of several complex variables. Geometry, Riemannian.