Description

Book Synopsis
Several relevant classes of submanifolds are also discussed, including constant curvature submanifolds, submanifolds of nonpositive extrinsic curvature, conformally flat submanifolds and real Kaehler submanifolds.

Trade Review

“I can recommend this book to anyone interested in submanifold theory: from students with a background in basic Riemannian geometry to experienced researchers in the field.” (Joeri Van der Veken, Mathematical Reviews, January, 2021)



Table of Contents
The basic equations of a submanifold.- Reduction of codimension.- Minimal submanifolds.- Local rigidity of submanifolds.- Constant curvature submanifolds.- Submanifolds with nonpositive extrinsic curvature.- Submanifolds with relative nullity.- Isometric immersions of Riemannian products.- Conformal immersions.- Isometric immersions of warped products.- The Sbrana-Cartan hypersurfaces.- Genuine deformations.- Deformations of complete submanifolds.- Innitesimal bendings.- Real Kaehler submanifolds.- Conformally at submanifolds.- Conformally deformable hypersurfaces.- Vector bundles.

Submanifold Theory Beyond an Introduction

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    A Hardback by Marcos Dajczer, Ruy Tojeiro

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      Book details

      Publisher Springer Us
      Published 8 March 2019
      ISBN-13 9781493996421
      978-1493996421
      ISBN-10 1493996428
      Also in:
      Algebra Differential and Riemannian geometry

      Description

      Book Synopsis
      Several relevant classes of submanifolds are also discussed, including constant curvature submanifolds, submanifolds of nonpositive extrinsic curvature, conformally flat submanifolds and real Kaehler submanifolds.

      Trade Review

      “I can recommend this book to anyone interested in submanifold theory: from students with a background in basic Riemannian geometry to experienced researchers in the field.” (Joeri Van der Veken, Mathematical Reviews, January, 2021)



      Table of Contents
      The basic equations of a submanifold.- Reduction of codimension.- Minimal submanifolds.- Local rigidity of submanifolds.- Constant curvature submanifolds.- Submanifolds with nonpositive extrinsic curvature.- Submanifolds with relative nullity.- Isometric immersions of Riemannian products.- Conformal immersions.- Isometric immersions of warped products.- The Sbrana-Cartan hypersurfaces.- Genuine deformations.- Deformations of complete submanifolds.- Innitesimal bendings.- Real Kaehler submanifolds.- Conformally at submanifolds.- Conformally deformable hypersurfaces.- Vector bundles.

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