Foliations by Complex Manifolds Involving the Complex Hessian PDF Download

Author: Julian Ławrynowicz
Publisher:
ISBN:
Category : Complex manifolds
Languages : en
Pages : 56

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Author: Julian Ławrynowicz
Publisher:
ISBN:
Category : Analytic functions
Languages : en
Pages : 378

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Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 324

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Author: Philippe Tondeur
Publisher: Birkhäuser
ISBN: 3034889143
Category : Mathematics
Languages : en
Pages : 308

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The topics in this survey volume concern research done on the differential geom etry of foliations over the last few years. After a discussion of the basic concepts in the theory of foliations in the first four chapters, the subject is narrowed down to Riemannian foliations on closed manifolds beginning with Chapter 5. Following the discussion of the special case of flows in Chapter 6, Chapters 7 and 8 are de voted to Hodge theory for the transversal Laplacian and applications of the heat equation method to Riemannian foliations. Chapter 9 on Lie foliations is a prepa ration for the statement of Molino's Structure Theorem for Riemannian foliations in Chapter 10. Some aspects of the spectral theory for Riemannian foliations are discussed in Chapter 11. Connes' point of view of foliations as examples of non commutative spaces is briefly described in Chapter 12. Chapter 13 applies ideas of Riemannian foliation theory to an infinite-dimensional context. Aside from the list of references on Riemannian foliations (items on this list are referred to in the text by [ ]), we have included several appendices as follows. Appendix A is a list of books and surveys on particular aspects of foliations. Appendix B is a list of proceedings of conferences and symposia devoted partially or entirely to foliations. Appendix C is a bibliography on foliations, which attempts to be a reasonably complete list of papers and preprints on the subject of foliations up to 1995, and contains approximately 2500 titles.

Author: Sorin Dragomir
Publisher: Elsevier
ISBN: 0124158269
Category : Computers
Languages : en
Pages : 529

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An excellent reference for anyone needing to examine properties of harmonic vector fields to help them solve research problems. The book provides the main results of harmonic vector ?elds with an emphasis on Riemannian manifolds using past and existing problems to assist you in analyzing and furnishing your own conclusion for further research. It emphasizes a combination of theoretical development with practical applications for a solid treatment of the subject useful to those new to research using differential geometric methods in extensive detail. A useful tool for any scientist conducting research in the field of harmonic analysis Provides applications and modern techniques to problem solving A clear and concise exposition of differential geometry of harmonic vector fields on Reimannian manifolds Physical Applications of Geometric Methods

Author: Julian Ławrynowicz
Publisher:
ISBN:
Category : Functions of complex variables
Languages : en
Pages : 370

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Author: Julian Lawrynowicz
Publisher: Springer Science & Business Media
ISBN: 940092643X
Category : Mathematics
Languages : en
Pages : 347

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Selected Papers from the Seminar on Deformations, Lódz-Lublin, 1985/87

Author: Gábor Székelyhidi
Publisher: American Mathematical Soc.
ISBN: 1470410478
Category : Mathematics
Languages : en
Pages : 210

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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.

Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 980

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Author: Marek Ptak
Publisher:
ISBN:
Category : Commutative algebra
Languages : en
Pages : 72

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