Biharmonic submanifolds and biharmonic maps in Riemannian geometry

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書誌事項

Biharmonic submanifolds and biharmonic maps in Riemannian geometry

Ye-Lin Ou, Bang-Yen Chen

World Scientific, c2020

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注記

Includes bibliographical references (p. 491-516) and indexes

収録内容

  • Differentiable manifolds
  • Riemannian and pseudo-riemannian manifolds
  • Submanifolds
  • Biharmonic curves and surfaces in pseudo-euclidean spaces
  • Some progress on Chen's biharmonic conjecture
  • Some progress on generalized Chen's conjecture
  • Biharmonic submanifolds in spheres
  • Biharmonic submanifolds in some other model spaces
  • Harmonic maps and their generalizations
  • Biharmonic maps between Riemannian manifolds
  • Biharmonic conformal maps
  • Second variation of bienergy, Liouville-type and unique continuation theorems

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