Titlebook: Extrinsic Geometry of Foliations; Vladimir Rovenski,Paweł Walczak Book 2021 Springer Nature Switzerland AG 2021 foliations.extrinsic geome

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0743-1643 ienced 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 to978-3-030-70069-0978-3-030-70067-6Series ISSN 0743-1643 Series E-ISSN 2296-505X

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Integral Formulas, existence and characterization of foliations, whose leaves have a given geometric property, such as being totally geodesic, totally umbilical or minimal; (ii) prescribing the higher mean curvatures of the leaves of a foliation; (iii) minimizing functionals like volume and energy defined for tensor fields on a foliated manifold.

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Book 2021ry. 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 fol

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Analytical Moment: Curriculum Analysis, functions which interpolate between the weighted sectional and Ricci curvature. Toponogov’s problem on totally geodesic foliations with positive mixed sectional curvature is discussed with relation to the weighted curvature.

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Foliations and the Mixed Curvature, functions which interpolate between the weighted sectional and Ricci curvature. Toponogov’s problem on totally geodesic foliations with positive mixed sectional curvature is discussed with relation to the weighted curvature.

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0743-1643 c and analytical theory of foliations.Designed for newcomers.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