Geodesic
LINEAR WEINGARTEN HYPERSURFACES IN A REAL SPACE FORM
Glasgow mathematical journal, Tome 52 (2010) no. 3, pp. 635-648

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DOI

In this paper, we investigate linear Weingarten hypersurfaces with two distinct principal curvatures in a real space form Mn+1(c), we obtain two rigidity results and give some characterization of the Riemannian product Sk(a) × Sn−k(), 1 ≤ k ≤ n − 1 in Mn+1(c)(c = 1), the Riemannian product Rk × Sn−k(a), 1 ≤ k ≤ n −1 in Mn+1(c)(c = 0) and the Riemannian product Hk(tanh2 ρ−1) × Sn−k(coth2 ρ−1), 1 ≤ k ≤ n −1 in Mn+1(c)(c = −1).
DOI : 10.1017/S0017089510000480
Mots-clés : 53C42, 53A10 
SHU, SHICHANG. LINEAR WEINGARTEN HYPERSURFACES IN A REAL SPACE FORM. Glasgow mathematical journal, Tome 52 (2010) no. 3, pp. 635-648. doi: 10.1017/S0017089510000480
@article{10_1017_S0017089510000480,
     author = {SHU, SHICHANG},
     title = {LINEAR {WEINGARTEN} {HYPERSURFACES} {IN} {A} {REAL} {SPACE} {FORM}},
     journal = {Glasgow mathematical journal},
     pages = {635--648},
     year = {2010},
     volume = {52},
     number = {3},
     doi = {10.1017/S0017089510000480},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089510000480/}
}
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