Minimality and Perturbations of CR Manifolds

Minimality and Perturbations of CR Manifolds PDF Author: Charles Ara Pehlivanian
Publisher:
ISBN:
Category :
Languages : en
Pages : 188

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Minimality and Perturbations of CR Manifolds

Minimality and Perturbations of CR Manifolds PDF Author: Charles Ara Pehlivanian
Publisher:
ISBN:
Category :
Languages : en
Pages : 188

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Cauchy-Riemann (CR) Manifolds

Cauchy-Riemann (CR) Manifolds PDF Author: Geraldine Taiani
Publisher:
ISBN:
Category : CR submanifolds
Languages : en
Pages : 102

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Dissertation Abstracts International

Dissertation Abstracts International PDF Author:
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 854

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American Doctoral Dissertations

American Doctoral Dissertations PDF Author:
Publisher:
ISBN:
Category : Dissertation abstracts
Languages : en
Pages : 776

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The Geometry of CR Manifolds

The Geometry of CR Manifolds PDF Author: Michael Buttler (D.Phil. Oxon.)
Publisher:
ISBN:
Category : Geometry, Differential
Languages : en
Pages : 224

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Notices of the American Mathematical Society

Notices of the American Mathematical Society PDF Author: American Mathematical Society
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 728

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The Journal of Geometric Analysis

The Journal of Geometric Analysis PDF Author:
Publisher:
ISBN:
Category : Differential equations, Partial
Languages : en
Pages : 738

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Analytic Discs with Boundaries in a Generating CR-manifold

Analytic Discs with Boundaries in a Generating CR-manifold PDF Author: Miran Cĕrne
Publisher:
ISBN:
Category :
Languages : en
Pages : 262

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Book Description
The problem of perturbing analytic discs with boundary in CR-submanifold of $\Cc^n$ is considered. A theorem by globevnik on the perturbation by analytic discs along maximal real submanifolds of $\Cc^n$ is generalized and used in various applications: (i) it is proved that every energy functional minimizing disc in $\Cc^n$ with free boundary in a Lagrangian submanifold of $\Cc^n$ and all partial indices greater or equal -1 is holomorphic, (ii) a new proof and a generalization of a result by Pang on the Kobayashi extremal discs is given, (iii) perturbations of analytic varieties with boundaries in a totally real torus in $\Cc^2$ fibered over the unit circle $\partial D$ are considered. Also, some results by Baouendi, Rothschild and Trepreau on the family of analytic discs attached to a CR-submanifold of $\Cc^n$ of a positive CR-dimension are globalized.

Handbook of Dynamical Systems

Handbook of Dynamical Systems PDF Author: A. Katok
Publisher: Elsevier
ISBN: 0080478220
Category : Mathematics
Languages : en
Pages : 1235

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Book Description
This second half of Volume 1 of this Handbook follows Volume 1A, which was published in 2002. The contents of these two tightly integrated parts taken together come close to a realization of the program formulated in the introductory survey “Principal Structures of Volume 1A.The present volume contains surveys on subjects in four areas of dynamical systems: Hyperbolic dynamics, parabolic dynamics, ergodic theory and infinite-dimensional dynamical systems (partial differential equations). . Written by experts in the field.. The coverage of ergodic theory in these two parts of Volume 1 is considerably more broad and thorough than that provided in other existing sources. . The final cluster of chapters discusses partial differential equations from the point of view of dynamical systems.

Lecture Notes on Mean Curvature Flow: Barriers and Singular Perturbations

Lecture Notes on Mean Curvature Flow: Barriers and Singular Perturbations PDF Author: Giovanni Bellettini
Publisher: Springer
ISBN: 8876424296
Category : Mathematics
Languages : en
Pages : 336

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Book Description
The aim of the book is to study some aspects of geometric evolutions, such as mean curvature flow and anisotropic mean curvature flow of hypersurfaces. We analyze the origin of such flows and their geometric and variational nature. Some of the most important aspects of mean curvature flow are described, such as the comparison principle and its use in the definition of suitable weak solutions. The anisotropic evolutions, which can be considered as a generalization of mean curvature flow, are studied from the view point of Finsler geometry. Concerning singular perturbations, we discuss the convergence of the Allen–Cahn (or Ginsburg–Landau) type equations to (possibly anisotropic) mean curvature flow before the onset of singularities in the limit problem. We study such kinds of asymptotic problems also in the static case, showing convergence to prescribed curvature-type problems.