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.
(7477 views)
Complex Manifoldsby Julius Ross - Stanford University
From the table of contents: Complex Manifolds; Almost Complex Structures; Differential Forms; Poincare Lemma; Sheaves and Cohomology; Several Complex Variables; Holomorphic Vector Bundles; Kaehler Manifolds; Hodge Theory; Lefschetz Theorems; etc.
(7420 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.
(9792 views)
Lectures on Complex Analytic Manifoldsby L. Schwartz - Tata Institute of Fundamental Research
Topics covered: Differentiable Manifolds; C maps, diffeomorphisms. Effect of a map; The Tensor Bundles; Existence and uniqueness of the exterior differentiation; Manifolds with boundary; Integration on chains; Some examples of currents; etc.
(13152 views)