A note on the first Betti number of submanifolds with nonnegative Ricci curvature in codimension two.
Maria Helena Noronha (1991)
Manuscripta mathematica
Similarity:
Maria Helena Noronha (1991)
Manuscripta mathematica
Similarity:
Helmut Reckziegel (1974)
Manuscripta mathematica
Similarity:
Alfonso Romero, Luis J. Alías (1995)
Manuscripta mathematica
Similarity:
Wolf Strübing (1984/85)
Manuscripta mathematica
Similarity:
Dursun, Uǧur (2006)
Balkan Journal of Geometry and its Applications (BJGA)
Similarity:
Vladimir Rovenskiĭ (1998)
Annales Polonici Mathematici
Similarity:
Submanifolds and foliations with restrictions on q-Ricci curvature are studied. In §1 we estimate the distance between two compact submanifolds in a space of positive q-Ricci curvature, and give applications to special classes of submanifolds and foliations: k-saddle, totally geodesic, with nonpositive extrinsic q-Ricci curvature. In §2 we generalize a lemma by T. Otsuki on asymptotic vectors of a bilinear form and then estimate from below the radius of an immersed submanifold in a simply...
Gupta, Ram Shankar, Haider, S.M.Khrusheed, Sharfuddin, A. (2006)
Balkan Journal of Geometry and its Applications (BJGA)
Similarity:
Liang-Khoon Koh (1997)
Manuscripta mathematica
Similarity:
Al-Gwaiz, M.A., Deshmukh, Sharief (1992)
International Journal of Mathematics and Mathematical Sciences
Similarity:
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...
Kinetsu Abe (1980)
Mathematische Annalen
Similarity:
Michael T. Anderson (1990)
Manuscripta mathematica
Similarity:
Qing-ming Cheng (1991)
Mathematische Zeitschrift
Similarity:
Ghazal, Tahsin, Deshmukh, Sharief (1991)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Changyu Xia (1994)
Manuscripta mathematica
Similarity: