Explorations in Complex and Riemannian Geometry: A Volume Dedicated to Robert E. GreeneAmerican Mathematical Soc., 2003 - 325 pagina's This book contains contributions by an impressive list of leading mathematicians. The articles include high-level survey and research papers exploring contemporary issues in geometric analysis, differential geometry, and several complex variables. Many of the articles will provide graduate students with a good entry point into important areas of modern research. The material is intended for researchers and graduate students interested in several complex variables and complex geometry. |
Inhoudsopgave
| 1 | |
A gentle introduction to points of finite type on real hypersurfaces | 19 |
The moduli space of 2step nilpotent Lie algebras of type p q | 37 |
A survey | 73 |
Finiteness theorems in riemannian geometry | 101 |
Generalized Toponogovs theorem for manifolds with radial curvature bounded below | 121 |
The global isometric embedding problem | 131 |
The Bergman metric invariants and their boundary behavior | 139 |
Subelliptic estimates and scaling in the Neumann problem | 197 |
Negativity of curvature on spaces parametrizing Hodge decompositions of reduced first cohomology groups | 219 |
On the extension of L2 holomorphic functions VI a limiting case | 235 |
Variations on a theme of Synge | 241 |
Mappings between real submanifolds in complex space | 253 |
Harmonic analysis on toric varieties | 267 |
On complex manifolds with noncompact automorphism groups | 287 |
Kähler manifolds with slightly positive bisectional curvature | 305 |
Natural connections in almost complex manifolds | 153 |
The generalized triangle inequalities for rank 3 symmetric spaces of noncompact type | 171 |
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Explorations in Complex and Riemannian Geometry: A Volume Dedicated to ... Robert Everist Greene,John Bland,Kang-Tae Kim,Steven George Krantz Geen voorbeeld beschikbaar - 2003 |
Veelvoorkomende woorden en zinsdelen
2-step nilpotent Lie 6-Neumann problem automorphism group Bergman kernel Bergman metric biholomorphic bisectional curvature boundary bounded domain codimension compact complex manifold Complex Variables constant convergent convex coordinates corresponding defined denote differential dimension dimensional eigenvalues equation Euclidean exists fiber finite type foliation follows formal mapping free 2-step nilpotent geometry given harmonic Hence Hermitian holomorphic functions holomorphic mapping holomorphic sectional homotopy hypersurface inequalities integral isometric embedding isomorphism Kähler manifold Lemma linear mapping F Math Mathematics neighborhood nilpotent Lie algebra noncompact nonpositive norm obtain Oka principle orbit polynomial positive proof of Theorem proper holomorphic proved pseudoconvex domains real analytic result Ricci Riemann surface Riemannian manifolds satisfying sectional curvature SL(q smooth smoothly bounded so(q Stein manifold strongly pseudoconvex structure subelliptic estimates submanifold submersions subspace symmetric tangent Theorem 1.1 Toeplitz operator topology triangle trivial unit ball vector fields Zariski open zero