Description

Book Synopsis
Presents a celebration of the geometry of submanifolds and its connections with other areas of mathematics and cover themes rooted in Bang-Yen Chen's work, from investigations on the spectrum of the Laplacian on complete Riemannian manifolds to the geometry of symmetric spaces.

Table of Contents
  • Reflections on some research work of Bang-Yen Chen
  • My education in differential geometry and my indebtedness
  • Submanifold theory--A contemplation of submanifolds
  • Spectral gaps on complete Riemannian manifolds
  • On stability and index of minimal submanifolds
  • Maximally-warped metrics with harmonic curvature
  • CR-submanifolds of Chen-type two in non-flat complex space forms
  • On certain contact $CR$-submanifolds in $\mathbb{S}^7$
  • A class of strictly convex hypersurfaces satisfying Weingarten-type inequalities, I
  • Bounding the invariant spectrum when the scalar curvature is non-negative
  • Isometric immersions of surfaces: Classical approaches and integrability
  • On the geometry of Einstein spaces: A note on their curvature symmetries
  • Statistical manifolds and their submanifolds. Results on Chen-like invariants
  • Warped product hypersurfaces in pseudo-Riemannian real space forms
  • The development of rectifying submanifolds
  • Some recent work on biharmonic conformal maps
  • On isoparametric linear Weingarten hypersurfaces in Riemannian and Lorentzian space forms
  • Lagrangian submanifolds of the nearly Kahler 6-sphere and Chen's equality
  • Sesquilinear forms and symmetric spaces
  • Lagrangian submanifolds of the complex quadric as Gauss maps of hypersurfaces of spheres
  • Growth estimates for generalized harmonic forms on noncompact manifolds with geometric applications.

Geometry of Submanifolds

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    Order before 4pm tomorrow for delivery by Mon 29 Jun 2026.

    A Paperback by Joeri Van Der Veken, Alfonso Carriazo, Ivko Dimitric

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      Publisher: MP-AMM American Mathematical
      Publication Date: 1/30/2021 12:00:00 AM
      ISBN13: 9781470450922, 978-1470450922
      ISBN10: 1470450925

      Description

      Book Synopsis
      Presents a celebration of the geometry of submanifolds and its connections with other areas of mathematics and cover themes rooted in Bang-Yen Chen's work, from investigations on the spectrum of the Laplacian on complete Riemannian manifolds to the geometry of symmetric spaces.

      Table of Contents
      • Reflections on some research work of Bang-Yen Chen
      • My education in differential geometry and my indebtedness
      • Submanifold theory--A contemplation of submanifolds
      • Spectral gaps on complete Riemannian manifolds
      • On stability and index of minimal submanifolds
      • Maximally-warped metrics with harmonic curvature
      • CR-submanifolds of Chen-type two in non-flat complex space forms
      • On certain contact $CR$-submanifolds in $\mathbb{S}^7$
      • A class of strictly convex hypersurfaces satisfying Weingarten-type inequalities, I
      • Bounding the invariant spectrum when the scalar curvature is non-negative
      • Isometric immersions of surfaces: Classical approaches and integrability
      • On the geometry of Einstein spaces: A note on their curvature symmetries
      • Statistical manifolds and their submanifolds. Results on Chen-like invariants
      • Warped product hypersurfaces in pseudo-Riemannian real space forms
      • The development of rectifying submanifolds
      • Some recent work on biharmonic conformal maps
      • On isoparametric linear Weingarten hypersurfaces in Riemannian and Lorentzian space forms
      • Lagrangian submanifolds of the nearly Kahler 6-sphere and Chen's equality
      • Sesquilinear forms and symmetric spaces
      • Lagrangian submanifolds of the complex quadric as Gauss maps of hypersurfaces of spheres
      • Growth estimates for generalized harmonic forms on noncompact manifolds with geometric applications.

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