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Biharmonic conjectures on hypersurfaces in a space form.
- Source :
-
Transactions of the American Mathematical Society . Dec2023, Vol. 376 Issue 12, p8411-8445. 35p. - Publication Year :
- 2023
-
Abstract
- We apply the Murnaghan-Nakayama rule in the representation theory of symmetric groups to develop new techniques for studying biharmonic hypersurfaces in a space form. As applications of the new techniques, we settle the well-known Chen's conjecture on biharmonic hypersurfaces in \Bbb R^6 and BMO conjecture on biharmonic hypersurfaces in \mathbb S^6. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00029947
- Volume :
- 376
- Issue :
- 12
- Database :
- Academic Search Index
- Journal :
- Transactions of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 173727285
- Full Text :
- https://doi.org/10.1090/tran/9021