Lectures On Levi Convexity Of Complex Manifolds And Cohomology Vanishing Theorems
by E. Vesentini
Publisher: Tata Institute Of Fundamental Research 1967
ISBN/ASIN: B0006C27TO
Number of pages: 114
Description:
These are notes of lectures which the author gave at the Tata Institute of Fundamental Research in the Winter 1965. Topics: Vanishing theorems for hermitian manifolds; W-ellipticity on Riemannian manifolds; Local expressions for and the main inequality; Vanishing Theorems.
Download or read it online for free here:
Download link
(540KB, PDF)
Similar books
Kähler-Einstein metrics: Old and Newby Daniele Angella, Cristiano Spotti - arXiv.org
We present classical and recent results on Kaehler-Einstein metrics on compact complex manifolds, focusing on existence, obstructions and relations to algebraic geometric notions of stability (K-stability). These are the notes for author's course.
(3169 views)
Complex Analytic and Differential Geometryby Jean-Pierre Demailly - Universite de Grenoble
Basic concepts of complex geometry, coherent sheaves and complex analytic spaces, positive currents and potential theory, sheaf cohomology and spectral sequences, Hermitian vector bundles, Hodge theory, positive vector bundles, etc.
(14986 views)
Differential Geometry of Indefinite Complex Submanifolds in Indefinite Complex Space Formsby Alfonso Romero, Young Jin Suh
From the table of contents: Chapter 1. Linear preliminaries; Chapter 2. Indefinite Kaehler manifolds; Chapter 3. Complex hypersurfaces; Chapter 4. Complex submanifolds; Chapter 5. Totally real bisectional curvature; and more.
(6180 views)
Quantum Physics, Relativity, and Complex Spacetimeby Gerald Kaiser - University of Massachusetts at Lowell
A new synthesis of the principles of quantum mechanics and Relativity is proposed in the context of complex differential geometry. The positivity of the energy implies that wave functions and fields can be extended to complex spacetime.
(12365 views)