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Quantum Physics, Relativity, and Complex Spacetime by Gerald Kaiser
 
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Ebooks May 26, 2022 3

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Author
Gerald Kaiser
Publisher
University of Massachusetts at Lowell 2003
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.
Lectures on Complex Analytic Manifolds by L. Schwartz
 
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Ebooks May 26, 2022 2

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Author
L. Schwartz
Publisher
Tata Institute of Fundamental Research 1955
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;
Complex Manifolds and Hermitian Differential Geometry by Andrew D. Hwang
 
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Ebooks May 23, 2022 3

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Author
Andrew D. Hwang
Publisher
University of Toronto 1997
The intent of this text is not to give a thorough treatment of the algebraic and differential geometry of complex manifolds, but to introduce the reader to material of current interest as quickly as possible. The
Differential Geometry of Indefinite Complex Submanifolds in Indefinite Complex Space Forms by Alfonso Romero, Young Jin Suh
 
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Ebooks May 19, 2022 3

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Author
Alfonso Romero, Young Jin Suh
Publisher
2004
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.
Lectures On Levi Convexity Of Complex Manifolds And Cohomology Vanishing Theorems by E. Vesentini
 
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Ebooks May 16, 2022 1

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Author
E. Vesentini
Publisher
Tata Institute Of Fundamental Research 1967
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. ...
 
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Ebooks May 15, 2022 3
An attempt is made of giving a self-contained introduction to holomorphic ideas in general relativity, following work over the last thirty years by several authors. The main topics are complex manifolds, spinor and twistor methods, heaven spaces.
Dynamics in One Complex Variable by John Milnor
 
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Ebooks May 14, 2022 3

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Author
John Milnor
Publisher
Princeton University Press 1991
This volume studies the dynamics of iterated holomorphic mappings from a Riemann surface to itself, concentrating on the classical case of rational maps of the Riemann sphere. These lectures are intended to introduce some key ideas in the field, and to form a basis for further study. ...
Complex Analytic and Differential Geometry by Jean-Pierre Demailly
 
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Ebooks May 10, 2022 9

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Author
Jean-Pierre Demailly
Publisher
Universite de Grenoble 2007
From the table of contents: basic concepts of complex geometry, coherent sheaves and complex analytic spaces, positive currents and potential theory, sheaf cohomology and spectral sequences,
11542
 
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Ebooks April 25, 2022 7
From the table of contents: Complex Manifolds; Almost Complex Structures; Differential Forms; Poincare Lemma; Sheaves and Cohomology; More on Several Complex Variables; Holomorphic Vector Bundles; Kaehler Manifolds; Hodge Theory; Lefschetz Theorems; Hermitian Vector Bundles.
11556
 
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Ebooks April 25, 2022 7

Ebook Details

Author
Daniele Angella, Cristiano Spotti
Publisher
arXiv.org 2017
We present classical and recent results on Kaehler-Einstein metrics on compact complex manifolds, focusing on existence.
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