Biharmonic submanifolds and biharmonic maps in Riemannian geometry
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Bibliographic Information
Biharmonic submanifolds and biharmonic maps in Riemannian geometry
World Scientific, c2020
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Includes bibliographical references (p. 491-516) and indexes
Contents of Works
- 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