Download or read book Curvature Prescribing Problems in Hyperbolic Space and Conformal Geometry written by Qinian Jin and published by . This book was released on 2006 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis consists of two parts. In the first part we consider the problem of finding a star-shaped compact hypersurface with prescribed k-th mean curvature in hyperbolic space. Under some sufficient conditions, we obtain an existence result by establishing a priori estimates and using degree theory argument. In the second part we study a fully nonlinear version of the Yamabe problem on compact Riemannian manifolds with boundary. We establish various local gradient and Hessian estimates and prove some existence results.

Download or read book Prescribing Scalar Curvature in Conformal Geometry written by Andrea Malchiodi and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Differential Geometry And Topology Proceedings Of The Workshop written by Renzo Ilario Caddeo and published by World Scientific. This book was released on 1993-08-31 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the courses and lectures given during the workshop on Differential Geometry and Topology held at Alghero, Italy, in June 1992.The main goal of this meeting was to offer an introduction in attractive areas of current research and to discuss some recent important achievements in both the fields. This is reflected in the present book which contains some introductory texts together with more specialized contributions.The topics covered in this volume include circle and sphere packings, 3-manifolds invariants and combinatorial presentations of manifolds, soliton theory and its applications in differential geometry, G-manifolds of low cohomogeneity, exotic differentiable structures on R4, conformal deformation of Riemannian manifolds and Riemannian geometry of algebraic manifolds.

Download or read book Topics in Extrinsic Geometry of Codimension One Foliations written by Vladimir Rovenski and published by Springer Science & Business Media. This book was released on 2011-07-26 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: Extrinsic geometry describes properties of foliations on Riemannian manifolds which can be expressed in terms of the second fundamental form of the leaves. The authors of Topics in Extrinsic Geometry of Codimension-One Foliations achieve a technical tour de force, which will lead to important geometric results. The Integral Formulae, introduced in chapter 1, is a useful for problems such as: prescribing higher mean curvatures of foliations, minimizing volume and energy defined for vector or plane fields on manifolds, and existence of foliations whose leaves enjoy given geometric properties. The Integral Formulae steams from a Reeb formula, for foliations on space forms which generalize the classical ones. For a special auxiliary functions the formulae involve the Newton transformations of the Weingarten operator. The central topic of this book is Extrinsic Geometric Flow (EGF) on foliated manifolds, which may be a tool for prescribing extrinsic geometric properties of foliations. To develop EGF, one needs Variational Formulae, revealed in chapter 2, which expresses a change in different extrinsic geometric quantities of a fixed foliation under leaf-wise variation of the Riemannian Structure of the ambient manifold. Chapter 3 defines a general notion of EGF and studies the evolution of Riemannian metrics along the trajectories of this flow(e.g., describes the short-time existence and uniqueness theory and estimate the maximal existence time).Some special solutions (called Extrinsic Geometric Solutions) of EGF are presented and are of great interest, since they provide Riemannian Structures with very particular geometry of the leaves. This work is aimed at those who have an interest in the differential geometry of submanifolds and foliations of Riemannian manifolds.

Download or read book Dissertation Abstracts International written by and published by . This book was released on 2007 with total page 924 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Bubbling Phenomena for Prescribed Curvature Problems in Conformal Geometry written by Luca Galimberti and published by . This book was released on 2016 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Prescribed Curvature Measure Problem in Hyperbolic Space written by Yang Fengrui Yang Fengrui and published by . This book was released on 2021 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: "The problem of the prescribed curvature measure is one of the important problems in differential geometry and nonlinear partial differential equations. In this thesis, we consider prescribed curvature measure problem in hyperbolic space.We establish the existence and regularity of solutions to the problem. The key is the $C^2$ regularity estimates for solutions to the corresponding fully nonlinear PDE in the hyperbolic space"--

Download or read book Prescribing Conformal Complete Metrics with Given Positive Gaussian Curvature in Two Dimensional Euclidean Space written by Mathematical Sciences Research Institute (Berkeley, Calif.). and published by . This book was released on 1983 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Minimization of Curvature in Conformal Geometry written by Zisis Sakellaris and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Minimization of Curvature in Conformal Geometry written by Zisis N. Sakellaris and published by . This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Families of Conformally Covariant Differential Operators Q Curvature and Holography written by Andreas Juhl and published by Springer Science & Business Media. This book was released on 2009-07-26 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book studies structural properties of Q-curvature from an extrinsic point of view by regarding it as a derived quantity of certain conformally covariant families of differential operators which are associated to hypersurfaces.

Download or read book AdS CFT Correspondence written by Olivier Biquard and published by European Mathematical Society. This book was released on 2005 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since its discovery in 1997 by Maldacena, AdS/CFT correspondence has become one of the prime subjects of interest in string theory, as well as one of the main meeting points between theoretical physics and mathematics. On the physical side, it provides a duality between a theory of quantum gravity and a field theory. The mathematical counterpart is the relation between Einstein metrics and their conformal boundaries. The correspondence has been intensively studied, and a lot of progress emerged from the confrontation of viewpoints between mathematics and physics. Written by leading experts and directed at research mathematicians and theoretical physicists as well as graduate students, this volume gives an overview of this important area both in theoretical physics and in mathematics. It contains survey articles giving a broad overview of the subject and of the main questions, as well as more specialized articles providing new insight both on the Riemannian side and on the Lorentzian side of the theory.

Download or read book Proceedings of the Euroworkshop on Foliations Geometry and Dynamics 29 May 9 June 2000 Warsaw Poland written by Pawe? Grzegorz Walczak and published by World Scientific. This book was released on 2002 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains surveys and research articles regarding different aspects of the theory of foliation.

Download or read book Partial Differential Equations arising from Physics and Geometry written by Mohamed Ben Ayed and published by Cambridge University Press. This book was released on 2019-05-02 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the state of the art in PDEs, including the latest research and short courses accessible to graduate students.

Download or read book ICM 90 Satellite Conference Proceedings written by Satoru Igari and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of a Conference held in Sendai, Japan, August 14-18, 1990

Download or read book Foliations Geometry And Dynamics Proceedings Of The Euroworkshop written by Lawrence Conlon and published by World Scientific. This book was released on 2002-02-01 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains surveys and research articles regarding different aspects of the theory of foliation. The main aspects concern the topology of foliations of low-dimensional manifolds, the geometry of foliated Riemannian manifolds and the dynamical properties of foliations. Among the surveys are lecture notes devoted to the analysis of some operator algebras on foliated manifolds and the theory of confoliations (objects defined recently by W Thurston and Y Eliashberg, situated between foliations and contact structures). Among the research articles one can find a detailed proof of an unpublished theorem (due to Duminy) concerning ends of leaves in exceptional minimal sets.

Download or read book Abstracts of Papers Presented to the American Mathematical Society written by American Mathematical Society and published by . This book was released on 2000 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: