Normale Ansicht MARC ISBD

Extrinsic geometry of foliations Vladimir Rovenski, Paweł Walczak

Von:

Rovenski, Vladimir, 1953- [VerfasserIn]

Mitwirkende(r):

Walczak, Paweł, 1948- [VerfasserIn]

Materialtyp: Text

Text

Medientyp:

ohne Hilfsmittel zu benutzen

Datenträgertyp:

Band

ISBN:

9783030700669

Schlagwörter:

Andere physische Formen: Kein Titel; Erscheint auch als: Extrinsic geometry of foliationsAndere Klassifikation:

53-01
57-01
53C12
57R30
31.52
31.65

Online-Ressourcen:

Zusammenfassung: Preface -- 1. Preliminaries -- 2. Integral formulas -- 3. Prescribing the mean curvature -- 4. Variational formulae -- 5. Extrinsic Geometric flows -- References -- Index.Zusammenfassung: This book is devoted to geometric problems of foliation theory, in particular those related to extrinsic geometry, modern branch of Riemannian Geometry. The concept of mixed curvature is central to the discussion, and a version of the deep problem of the Ricci curvature for the case of mixed curvature of foliations is examined. The book is divided into five chapters that deal with integral and variation formulas and curvature and dynamics of foliations. Different approaches and methods (local and global, regular and singular) in solving the problems are described using integral and variation formulas, extrinsic geometric flows, generalizations of the Ricci and scalar curvatures, pseudo-Riemannian and metric-affine geometries, and 'computable' Finsler metrics. The book presents the state of the art in geometric and analytical theory of foliations as a continuation of the authors' life-long work in extrinsic geometry. It is designed for newcomers to the field as well as experienced geometers working in Riemannian geometry, foliation theory, differential topology, and a wide range of researchers in differential equations and their applications. It may also be a useful supplement to postgraduate level work and can inspire new interesting topics to explore.Andere Ausgaben: Erscheint auch als (Online-Ausgabe): / Rovenski, Vladimir: Extrinsic Geometry of Foliations

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Titelinformationen ( 3 )

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Medientyp	Aktuelle Bibliothek	Sammlung	Standort	Signatur	Status	Fälligkeitsdatum	Barcode
Buch	Gebäude E2 3 (UdS Campusbibliothek für Informatik und Mathematik)	Campusbibliothek für Informatik und Mathematik (E2 3)	Series (B)	PM 339 (Regal durchstöbern(Öffnet sich unterhalb))	Verfügbar		2202000615323

Regale von HOMEBRANCH: Universität des Saarlandes Fachrichtung Mathematik durchstöbern, Standort: Series (B), Sammlung: Campusbibliothek für Informatik und Mathematik (E2 3) Regalbrowser ausblenden (Regal ausblenden)

Zurück								Weiter
Zurück	PM 336 A perspective on canonical Riemannian metrics	PM 337 Interactions of quantum affine algebras with cluster algebras, current algebras and categorification in honor of Vyjayanthi Chari on the occasion of her 60th birthday	PM 338 Arithmetic L-functions and differential geometric methods regulators IV, May 2016, Paris	PM 339 Extrinsic geometry of foliations	PM 34 Systems of microdifferential equations	PM 340 Representation theory, mathematical physics, and integrable systems in honor of Nicolai Reshetikhin	PM 341 Rational sphere maps	Weiter

Preface -- 1. Preliminaries -- 2. Integral formulas -- 3. Prescribing the mean curvature -- 4. Variational formulae -- 5. Extrinsic Geometric flows -- References -- Index.

This book is devoted to geometric problems of foliation theory, in particular those related to extrinsic geometry, modern branch of Riemannian Geometry. The concept of mixed curvature is central to the discussion, and a version of the deep problem of the Ricci curvature for the case of mixed curvature of foliations is examined. The book is divided into five chapters that deal with integral and variation formulas and curvature and dynamics of foliations. Different approaches and methods (local and global, regular and singular) in solving the problems are described using integral and variation formulas, extrinsic geometric flows, generalizations of the Ricci and scalar curvatures, pseudo-Riemannian and metric-affine geometries, and 'computable' Finsler metrics. The book presents the state of the art in geometric and analytical theory of foliations as a continuation of the authors' life-long work in extrinsic geometry. It is designed for newcomers to the field as well as experienced geometers working in Riemannian geometry, foliation theory, differential topology, and a wide range of researchers in differential equations and their applications. It may also be a useful supplement to postgraduate level work and can inspire new interesting topics to explore.

Rovenski, Vladimir: Extrinsic Geometry of Foliations