Scalar Curvature and Real Submanifolds of Codimension 2 of a Complex Projective Space.
Masafumi Okumura (1986)
Mathematische Zeitschrift
Similarity:
Displaying similar documents to “On complex submanifolds of complex projective space with constant scalar curvature”
Scalar Curvature and Real Submanifolds of Codimension 2 of a Complex Projective Space.
Totally real minimal submanifolds in a quaternion projective space
Ximin Liu (1998)
Annales Polonici Mathematici
Similarity:
We prove some pinching theorems with respect to the scalar curvature of 4-dimensional conformally flat (concircularly flat, quasi-conformally flat) totally real minimal submanifolds in QP⁴(c).
Slant submanifolds with prescribed scalar curvature into cosymplectic space form.
Gupta, Ram Shankar, Haider, S.M.Khrusheed, Sharfuddin, A. (2006)
Balkan Journal of Geometry and its Applications (BJGA)
Similarity:
Complete space-like submanifolds with constant scalar curvature in a de Sitter space.
Shichang, Shu, Sanyang, Liu (2004)
Balkan Journal of Geometry and its Applications (BJGA)
Similarity:
Null 2-type space-like submanifolds of with normalized parallel mean curvature vector.
Dursun, Uǧur (2006)
Balkan Journal of Geometry and its Applications (BJGA)
Similarity:
Topology and geometry of complete submanifolds in euclidean spaces
Qing-Ming Cheng (2005)
Banach Center Publications
Similarity:
This paper is a survey of results on topological structures and curvature structures of complete submanifolds in a Euclidean space.
Submanifolds of Euclidean space with parallel mean curvature vector.
Ghazal, Tahsin, Deshmukh, Sharief (1991)
International Journal of Mathematics and Mathematical Sciences
Similarity:
A note on the first Betti number of submanifolds with nonnegative Ricci curvature in codimension two.
Maria Helena Noronha (1991)
Manuscripta mathematica
Similarity:
Totally real submanifolds in a complex projective space.
Liu, Ximin (1999)
International Journal of Mathematics and Mathematical Sciences
Similarity:
A pinching theorem on complete submanifolds with parallel mean curvature vectors
Ziqi Sun (2003)
Colloquium Mathematicae
Similarity:
Let M be an n-dimensional complete immersed submanifold with parallel mean curvature vectors in an (n+p)-dimensional Riemannian manifold N of constant curvature c > 0. Denote the square of length and the length of the trace of the second fundamental tensor of M by S and H, respectively. We prove that if S ≤ 1/(n-1) H² + 2c, n ≥ 4, or S ≤ 1/2 H² + min(2,(3p-3)/(2p-3))c, n = 3, then M is umbilical. This result generalizes the...
Complete space-like submanifolds in a de Sitter space with parallel mean curvature vector.
Qing-ming Cheng (1991)
Mathematische Zeitschrift
Similarity:
Curvature Pinching and Eigenvalue Rigidity for Minimal Submanifolds.
Sebastián Montiel, A. Ros, F. Urbano (1986)
Mathematische Zeitschrift
Similarity:
On an inequality of Oprea for Lagrangian submanifolds
Franki Dillen, Johan Fastenakels (2009)
Open Mathematics
Similarity:
We show that a Lagrangian submanifold of a complex space form attaining equality in the inequality obtained by Oprea in [8], must be totally geodesic.