A gap theorem for constant scalar curvature hypersurfaces
Author:
Funder
Conselho Nacional de Desenvolvimento Científico e Tecnológico
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,General Mathematics
Link
https://link.springer.com/content/pdf/10.1007/s13348-020-00304-3.pdf
Reference19 articles.
1. Alías, L.J., de Lima, H.F., Meléndez, J., dos Santos, F.R.: Rigidity of linear Weingarten hypersurfaces in locally symmetric manifolds. Math. Nachr. 289, 1309–1324 (2016)
2. Alías, L.J., García-Martínez, S.C., Rigoli, M.: A maximum principle for hypersurfaces with constant scalar curvature and applications. Ann. Glob. Anal. Geom. 41, 307–320 (2012)
3. Alías, L.J., Meléndez, J., Palmas, O.: Hypersurfaces with constant scalar curvature in space forms. Differ. Geom. Appl. 58, 65–82 (2018)
4. Brasil Jr., A., Colares, A.G., Palmas, O.: Complete hypersurfaces with constant scalar curvature in spheres. Monatsh. Math. 161, 369–380 (2010)
5. Cheng, Q.M.: Hypersurfaces in a unit sphere $${\mathbb{S}}^{n + 1}$$ with constant scalar curvature. J. Lond. Math. Soc. 64, 755–768 (2001)
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1. Revisiting linear Weingarten hypersurfaces immersed into a locally symmetric Riemannian manifold;European Journal of Mathematics;2021-05-03
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