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Books > Science & Mathematics > Mathematics > Geometry > Analytic geometry
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Extrinsic Geometry of Foliations (Hardcover, 1st ed. 2021)
Loot Price: R3,407
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Extrinsic Geometry of Foliations (Hardcover, 1st ed. 2021)
Series: Progress in Mathematics, 339
Expected to ship within 10 - 15 working days
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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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