[PDF] Complex Monge Amp Re Equations And Geodesics In The Space Of K Hler Metrics - eBooks Review

Complex Monge Amp Re Equations And Geodesics In The Space Of K Hler Metrics


Complex Monge Amp Re Equations And Geodesics In The Space Of K Hler Metrics
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Emerging Trends In Visual Computing


Emerging Trends In Visual Computing
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Author : Frank Nielsen
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-03-26

Emerging Trends In Visual Computing written by Frank Nielsen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-03-26 with Computers categories.


This book is an outcome of the LIX Fall Colloquium on the Emerging Trends in Visual Computing, ETVC 2008, which was held in Palaiseau, France, November 18-20, 2008. During the event, 25 renowned invited speakers gave lectures on their areas of expertise within the field of visual computing. From these talks, a total of 15 state-of-the-art articles have been assembled in this volume. All articles were thoroughly reviewed and improved, according to the suggestions of the referees. The 15 contributions presented in this state-of-the-art survey are organized in topical sections on: geometric computing, information geometry and applications, computer graphics and vision, information retrieval, and medical imaging and computational anatomy. They are preceded by the abstracts of the talks given at ETVC 2008.



An Introduction To Extremal Kahler Metrics


An Introduction To Extremal Kahler Metrics
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Author : Gábor Székelyhidi
language : en
Publisher: American Mathematical Soc.
Release Date : 2014-06-19

An Introduction To Extremal Kahler Metrics written by Gábor Székelyhidi and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-19 with Mathematics categories.


A basic problem in differential geometry is to find canonical metrics on manifolds. The best known example of this is the classical uniformization theorem for Riemann surfaces. Extremal metrics were introduced by Calabi as an attempt at finding a higher-dimensional generalization of this result, in the setting of Kähler geometry. This book gives an introduction to the study of extremal Kähler metrics and in particular to the conjectural picture relating the existence of extremal metrics on projective manifolds to the stability of the underlying manifold in the sense of algebraic geometry. The book addresses some of the basic ideas on both the analytic and the algebraic sides of this picture. An overview is given of much of the necessary background material, such as basic Kähler geometry, moment maps, and geometric invariant theory. Beyond the basic definitions and properties of extremal metrics, several highlights of the theory are discussed at a level accessible to graduate students: Yau's theorem on the existence of Kähler-Einstein metrics, the Bergman kernel expansion due to Tian, Donaldson's lower bound for the Calabi energy, and Arezzo-Pacard's existence theorem for constant scalar curvature Kähler metrics on blow-ups.



Spectral Geometry


Spectral Geometry
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Author : Pierre H. Berard
language : en
Publisher: Springer
Release Date : 2006-11-14

Spectral Geometry written by Pierre H. Berard and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.




Fundamentals Of Diophantine Geometry


Fundamentals Of Diophantine Geometry
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Author : S. Lang
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29

Fundamentals Of Diophantine Geometry written by S. Lang and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Mathematics categories.


Diophantine problems represent some of the strongest aesthetic attractions to algebraic geometry. They consist in giving criteria for the existence of solutions of algebraic equations in rings and fields, and eventually for the number of such solutions. The fundamental ring of interest is the ring of ordinary integers Z, and the fundamental field of interest is the field Q of rational numbers. One discovers rapidly that to have all the technical freedom needed in handling general problems, one must consider rings and fields of finite type over the integers and rationals. Furthermore, one is led to consider also finite fields, p-adic fields (including the real and complex numbers) as representing a localization of the problems under consideration. We shall deal with global problems, all of which will be of a qualitative nature. On the one hand we have curves defined over say the rational numbers. Ifthe curve is affine one may ask for its points in Z, and thanks to Siegel, one can classify all curves which have infinitely many integral points. This problem is treated in Chapter VII. One may ask also for those which have infinitely many rational points, and for this, there is only Mordell's conjecture that if the genus is :;;; 2, then there is only a finite number of rational points.



Aag 2018


Aag 2018
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Author : Lars Hesselgren
language : en
Publisher:
Release Date : 2018

Aag 2018 written by Lars Hesselgren and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with categories.




Lectures On Differential Geometry


Lectures On Differential Geometry
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Author : Richard M. Schoen
language : en
Publisher:
Release Date : 1994

Lectures On Differential Geometry written by Richard M. Schoen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Geometry, Differential categories.




Lectures On Harmonic Maps


Lectures On Harmonic Maps
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Author : Richard Schoen
language : en
Publisher:
Release Date : 2013-04-30

Lectures On Harmonic Maps written by Richard Schoen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-30 with categories.




Canonical Metrics In K Hler Geometry


Canonical Metrics In K Hler Geometry
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Author : Gang Tian
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

Canonical Metrics In K Hler Geometry written by Gang Tian and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


There has been fundamental progress in complex differential geometry in the last two decades. For one, The uniformization theory of canonical Kähler metrics has been established in higher dimensions, and many applications have been found, including the use of Calabi-Yau spaces in superstring theory. This monograph gives an introduction to the theory of canonical Kähler metrics on complex manifolds. It also presents some advanced topics not easily found elsewhere.



Fully Nonlinear Elliptic Equations


Fully Nonlinear Elliptic Equations
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Author : Luis A. Caffarelli
language : en
Publisher: American Mathematical Soc.
Release Date : 1995

Fully Nonlinear Elliptic Equations written by Luis A. Caffarelli and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.


The goal of the book is to extend classical regularity theorems for solutions of linear elliptic partial differential equations to the context of fully nonlinear elliptic equations. This class of equations often arises in control theory, optimization, and other applications. The authors give a detailed presentation of all the necessary techniques. Instead of treating these techniques in their greatest generality, they outline the key ideas and prove the results needed for developing the subsequent theory. Topics discussed in the book include the theory of viscosity solutions for nonlinear equations, the Alexandroff estimate and Krylov-Safonov Harnack-type inequality for viscosity solutions, uniqueness theory for viscosity solutions, Evans and Krylov regularity theory for convex fully nonlinear equations, and regularity theory for fully nonlinear equations with variable coefficients.



Global Riemannian Geometry


Global Riemannian Geometry
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Author : Thomas Willmore
language : en
Publisher:
Release Date : 1984

Global Riemannian Geometry written by Thomas Willmore and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Mathematics categories.