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Extrinsic Geometry of Foliations

Af: Pawel Walczak, Vladimir Rovenski Engelsk Paperback

Extrinsic Geometry of Foliations

Af: Pawel Walczak, Vladimir Rovenski Engelsk Paperback
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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.


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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.


Produktdetaljer
Sprog: Engelsk
Sider: 319
ISBN-13: 9783030700690
Indbinding: Paperback
Udgave:
ISBN-10: 3030700690
Udg. Dato: 24 maj 2022
Længde: 0mm
Bredde: 155mm
Højde: 235mm
Forlag: Springer Nature Switzerland AG
Oplagsdato: 24 maj 2022
Forfatter(e) Pawel Walczak, Vladimir Rovenski


Kategori Differential- og Riemannsk geometri


ISBN-13 9783030700690


Sprog Engelsk


Indbinding Paperback


Sider 319


Udgave


Længde 0mm


Bredde 155mm


Højde 235mm


Udg. Dato 24 maj 2022


Oplagsdato 24 maj 2022


Forlag Springer Nature Switzerland AG

Kategori sammenhænge