[Biharmonic immersion in a Cartan–Hadamard manifold]
If is a Cartan–Hadamard manifold such that where , and , then every proper biharmonic isometric immersion is harmonic.
Si est une variété de Cartan–Hadamard telle que , où , et , alors toute immersion isométrique propre biharmonique est harmonique.
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Saïd Asserda 1; MʼHamed Kassi 2
@article{CRMATH_2013__351_15-16_627_0, author = {Sa{\"\i}d Asserda and M'Hamed Kassi}, title = {Immersions biharmoniques dans une vari\'et\'e de {Cartan{\textendash}Hadamard}}, journal = {Comptes Rendus. Math\'ematique}, pages = {627--630}, publisher = {Elsevier}, volume = {351}, number = {15-16}, year = {2013}, doi = {10.1016/j.crma.2013.09.006}, language = {fr}, }
Saïd Asserda; MʼHamed Kassi. Immersions biharmoniques dans une variété de Cartan–Hadamard. Comptes Rendus. Mathématique, Volume 351 (2013) no. 15-16, pp. 627-630. doi : 10.1016/j.crma.2013.09.006. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2013.09.006/
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