Verwandte Artikel zu Foliations on Riemannian Manifolds and Submanifolds

Foliations on Riemannian Manifolds and Submanifolds - Hardcover

Rovenski, Vladimir

 
9780817638061: Foliations on Riemannian Manifolds and Submanifolds
Hardcover
ISBN 10: 0817638067 ISBN 13: 9780817638061
Verlag: Birkhäuser, 1997

Inhaltsangabe

This monograph is based on the author's results on the Riemannian ge ometry of foliations with nonnegative mixed curvature and on the geometry of sub manifolds with generators (rulings) in a Riemannian space of nonnegative curvature. The main idea is that such foliated (sub) manifolds can be decom posed when the dimension of the leaves (generators) is large. The methods of investigation are mostly synthetic. The work is divided into two parts, consisting of seven chapters and three appendices. Appendix A was written jointly with V. Toponogov. Part 1 is devoted to the Riemannian geometry of foliations. In the first few sections of Chapter I we give a survey of the basic results on foliated smooth manifolds (Sections 1.1-1.3), and finish in Section 1.4 with a discussion of the key problem of this work: the role of Riemannian curvature in the study of foliations on manifolds and submanifolds.

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Über die Autorin bzw. den Autor

Vladimir Rovenski (University of Haifa) and Pawe¿ Walczak (University of Lodz), are well-known scientists, specializing in differential geometry, topology and dynamics of foliations. Their scientific contact began in May/June of 1995 during the International Conference "Foliations: Geometry and Dynamics" in Warsaw. Their common interests in Riemannian geometry of foliations and submanifolds sparked the beginning of their scientific co-operation. The authors formed a common theme of research and the idea of a scientific relay race. The scientific relay race was started by Prof. Walczak who had won a Marie Curie grant and conducted research at Institut de Mathématiques de Bourgogne (Dijon, France) from 2003-2005. Prof. Rovenski won a similar Marie Curie grant and conducted research in cooperation with Walczak at the University of Lodz from 2008-2010. Their scientific synergies ongoing, and the scientific relay race is successfully continued by their students. The collaboration and friendship of the authors for over 25 years has led to several scientific works in extrinsic geometry of foliations of Riemannian and Finsler manifolds.

Von der hinteren Coverseite

The ideas and methods of foliations are very popular in mathematics and its applications. The key problem of this volume is the role of a Riemannian curvature in studies of manifolds and submanifolds with foliations.

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Verlag
Birkhäuser
Erscheinungsdatum
1997
Sprache
Englisch
ISBN 10 
0817638067
ISBN 13 
9780817638061
Einband
Gebundene Ausgabe
Anzahl der Seiten
296
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