Author: Paul BairdPublisher: Oxford University Press
ISBN: 9780198503620
Category : Mathematics
Languages : en
Pages : 540
Book Description
This is an account in book form of the theory of harmonic morphisms between Riemannian manifolds.
Harmonic Morphisms Between Riemannian Manifolds
Author: Paul BairdPublisher: Oxford University Press
ISBN: 9780198503620
Category : Mathematics
Languages : en
Pages : 540
Book Description
This is an account in book form of the theory of harmonic morphisms between Riemannian manifolds.
Harmonic Morphisms Between Semi-Riemannian Manifolds
Author: Vijay K. ParmarHarmonic Morphisms Between Riemannian Manifolds
Author: Harmonic Morphisms Between Riemannian Manifolds
Author: B. FugledeInfinity-harmonic Functions, Maps, and Morphisms of Riemannian Manifolds
Author: Tiffany Lynn TroutmanPublisher:
ISBN:
Category : Harmonic functions
Languages : en
Pages : 90
Book Description
Further Advances in Twistor Theory
Author: L.J. MasonPublisher: CRC Press
ISBN: 9780582004658
Category : Mathematics
Languages : en
Pages : 292
Book Description
Twistor theory is the remarkable mathematical framework that was discovered by Roger Penrose in the course of research into gravitation and quantum theory. It have since developed into a broad, many-faceted programme that attempts to resolve basic problems in physics by encoding the structure of physical fields and indeed space-time itself into the complex analytic geometry of twistor space. Twistor theory has important applications in diverse areas of mathematics and mathematical physics. These include powerful techniques for the solution of nonlinear equations, in particular the self-duality equations both for the Yang-Mills and the Einstein equations, new approaches to the representation theory of Lie groups, and the quasi-local definition of mass in general relativity, to name but a few. This volume and its companions comprise an abundance of new material, including an extensive collection of Twistor Newsletter articles written over a period of 15 years. These trace the development of the twistor programme and its applications over that period and offer an overview on the current status of various aspects of that programme. The articles have been written in an informal and easy-to-read style and have been arranged by the editors into chapter supplemented by detailed introductions, making each volume self-contained and accessible to graduate students and nonspecialists from other fields. Volume II explores applications of flat twistor space to nonlinear problems. It contains articles on integrable or soluble nonlinear equations, conformal differential geometry, various aspects of general relativity, and the development of Penrose's quasi-local mass construction.
Geometric Methods in PDE’s
Author: Giovanna CittiPublisher: Springer
ISBN: 3319026666
Category : Mathematics
Languages : en
Pages : 381
Book Description
The analysis of PDEs is a prominent discipline in mathematics research, both in terms of its theoretical aspects and its relevance in applications. In recent years, the geometric properties of linear and nonlinear second order PDEs of elliptic and parabolic type have been extensively studied by many outstanding researchers. This book collects contributions from a selected group of leading experts who took part in the INdAM meeting "Geometric methods in PDEs", on the occasion of the 70th birthday of Ermanno Lanconelli. They describe a number of new achievements and/or the state of the art in their discipline of research, providing readers an overview of recent progress and future research trends in PDEs. In particular, the volume collects significant results for sub-elliptic equations, potential theory and diffusion equations, with an emphasis on comparing different methodologies and on their implications for theory and applications.
Differential Geometry and Analysis on CR Manifolds
Author: Sorin DragomirPublisher: Springer Science & Business Media
ISBN: 0817644830
Category : Mathematics
Languages : en
Pages : 499
Book Description
Presents many major differential geometric acheivements in the theory of CR manifolds for the first time in book form Explains how certain results from analysis are employed in CR geometry Many examples and explicitly worked-out proofs of main geometric results in the first section of the book making it suitable as a graduate main course or seminar textbook Provides unproved statements and comments inspiring further study
Geometry, Topology and Physics
Author: Boris N. ApanasovPublisher: Walter de Gruyter
ISBN: 3110805057
Category : Mathematics
Languages : en
Pages : 361
Book Description
The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
Author: