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5 edition of The geometry of submanifolds found in the catalog.

The geometry of submanifolds

by IНЎU. A. Aminov

  • 124 Want to read
  • 24 Currently reading

Published by Gordon and Breach Science Publishers in Amsterdam, The Netherlands, Japan .
Written in English

    Subjects:
  • Submanifolds.

  • Edition Notes

    Includes bibliographical references (p. 355-365) and indexes.

    StatementYu. Aminov.
    The Physical Object
    Paginationxv, 371 p. :
    Number of Pages371
    ID Numbers
    Open LibraryOL18215796M
    ISBN 10905699087X

    Geometry of Hypersurfaces begins with the basic theory of submanifolds in real space forms. Topics include shape operators, principal curvatures and foliations, tubes and parallel hypersurfaces, curvature spheres and focal submanifolds. The focus then turns to the theory of . Dear Colleagues, Submanifold theory can be thought of as a generalization of the study of surfaces in the 3-dimensional Euclidean space. In the general theory, both the dimension of the submanifold and the codimension, which is the difference between the dimension of the ambient space and the dimension of the submanifold, can be arbitrarily high, and the ambient space does not need to be flat.

    In this book, the general theory of submanifolds in a multidimensional projective space is constructed. The topics dealt with include osculating spaces and fundamental forms of different orders, asymptotic and conjugate lines, submanifolds on the Grassmannians, different aspects of the normalization problems for submanifolds (with special emphasis given to a connection in the normal bundle.   “The book is written in an accessible and quite self-contained way. It is recommendable for a broad audience of students and mathematicians interested in minimal submanifolds in pseudo-Riemannian geometry.”.

    Differential Geometry Lecture Notes. This book covers the following topics: Smooth Manifolds, Plain curves, Submanifolds, Differentiable maps, immersions, submersions and embeddings, Basic results from Differential Topology, Tangent spaces and tensor . The book covers a wide range of topics such as Sasakian geometry, Kaehler and locally conformal Kaehler geometry, the tangential CR equations, Lorentzian geometry, holomorphic statistical manifolds, and paraquaternionic CR ed as a tribute to Professor Aurel Bejancu, who discovered the notion of a CR submanifold of a Hermitian.


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The geometry of submanifolds by IНЎU. A. Aminov Download PDF EPUB FB2

The geometry of submanifolds Download the geometry of submanifolds or read online books in PDF, EPUB, Tuebl, and Mobi Format. Click Download or Read Online button to get the geometry of submanifolds book now.

This site is like The geometry of submanifolds book library, Use search box in. The first two chapters of this frequently cited reference provide background material in Riemannian geometry and the theory of submanifolds.

Subsequent chapters explore minimal submanifolds, submanifolds with parallel mean curvature vector, conformally flat Author: Bang-Yen Chen. The first two chapters of this frequently cited and newly updated reference provide background material in Riemannian geometry and the theory of submanifolds.

Subsequent chapters explore minimal submanifolds, submanifolds with parallel mean curvature vector, conformally flat manifolds, and umbilical manifolds. The final chapter discusses geometric inequalities of submanifolds, results in Morse. This is a comprehensive presentation of the geometry of submanifolds that expands on classical results in the theory of curves and surfaces.

The geometry of submanifolds starts from the idea of the extrinsic geometry of a surface, and the theory studies the position and properties of a submanifold in ambient space in both local and global aspects. The geometry of submanifolds begins from the idea of the extrinsic geometry of a surface and the theory studies the position and properties of a submanifold in ambient space, in local and global aspects.

"The book under review is an excellent monograph about Lie sphere geometry and its recent applications to the study of submanifolds of Euclidean book is written in a very clear and precise by: This book is the Dover Edition of my book "Geometry of Submanifolds" published in by Marcel Dekker Inc.

It was published by Dover Publications in May of Author: Bang-Yen Chen. Characterization of CR-submanifolds in complex space forms.- 2. Riemannian fibre bundles and anti-holomorphic submanifolds of CPn.- 3. CR-products of complex space forms.- 4.

Mixed foliate CR-submanifolds of complex space forms.- 5. CR-submanifolds with semi-flat normal connection.- 6. Pinching theorems for sectional curvatures of CR. The book aims to present a comprehensive survey on biharmonic submanifolds and maps from the viewpoint of Riemannian geometry.

It provides some basic knowledge and tools used in the study of the subject as well as an overall picture of the development of the subject with most up-to Seller Rating: % positive.

In this book, the general theory of submanifolds in a multidimensional projective space is constructed. The topics dealt with include osculating spaces and fundamental forms of different orders, asymptotic and conjugate lines, submanifolds on the Grassmannians, different aspects of the normalization problems for submanifolds (with special emphasis given to a connection in the normal Brand: Elsevier Science.

Recent Advances in the Geometry of Submanifolds book. Read reviews from world’s largest community for : Hardcover. The book covers a wide range of topics such as Sasakian geometry, Kaehler and locally conformal Kaehler geometry, the tangential CR equations, Lorentzian geometry, holomorphic statistical manifolds, and paraquaternionic CR : Springer Singapore.

Purchase Projective Differential Geometry of Submanifolds, Volume 49 - 1st Edition. Print Book & E-Book. ISBNThe differential geometry of slant submanifolds has shown an increasing development since B.Y.

Chen defined slant submanifolds in complex manifolds as a natural generalization of both invariant Author: Bang-Yen Chen. The book uses the reduction of codimension, Moore’s lemma for local splitting, and the normal holonomy theorem to address the geometry of submanifolds.

It presents a unified treatment of new proofs and main results of homogeneous submanifolds, isoparametric submanifolds, and their generalizations to Riemannian manifolds, particularly. Geometry of Submanifolds and Homogeneous Spaces. Andreas Arvanitoyeorgos and George Kaimakamis (Eds.) Pages: Published: January (This book is a printed edition of the Special Issue Geometry of Submanifolds and Homogeneous Spaces that was published in.

Geometry of Submanifolds Volume 22 of Lecture notes in pure and applied mathematics Volume 22 of Monographs and textbooks in pure and applied mathematics Volume 22 of Pure and Applied Mathematics - Marcel Dekker, ISSN Volume 22 of Pure and applied mathematics: a series of monographs and textbooks.

© Regents of the University of Minnesota. All rights reserved. Privacy Statement The University of Minnesota is an equal opportunity educator and employer. It also discusses the geometry of pseudo-Finsler manifolds and presents a comparison between the induced and the intrinsic Finsler connections.

The Cartan, Berwald, and Rund connections are all investigated. Included also is the study of totally geodesic and other special submanifolds such as curves, surfaces, and : $ Geometry *immediately available upon purchase as print book shipments may be delayed due to the COVID crisis.

ebook access is temporary and does not include ownership of the ebook. Only valid for books with an ebook : Springer Netherlands. Book Description Paperback.

Condition: New. th. Paperback. This is the first systematic account of the main results in the theory of lightlike submanifolds of semi-Riemannian manifolds which have a geometric structure, such as almost Hermitian, ng may be from multiple locations in the US or from the UK, depending on stock availability.

pages. Price Range: $ - $This volume contains the proceedings of the AMS Special Session on Geometry of Submanifolds, held from October, at San Francisco State University, San Francisco, CA, and the AMS Special Session on Recent Advances in the Geometry of Submanifolds: Dedicated to the Memory of Franki Dillen (), held from March, at Michigan State University, East Lansing, Ml.

Description; Chapters; Reviews; Supplementary; In the theory of minimal submanifolds, Bernstein's problem and Plateau's problem are central topics. This important book presents the Douglas–Rado solution to Plateau's problem, but the main emphasis is on Bernstein's problem and its new developments in various directions: the value distribution of the Gauss image of a minimal .