Journal ArticleDOI
Immersions of Riemannian manifolds into cylinders
Th. Hasanis,D. Koutroufiotis +1 more
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This article is published in Archiv der Mathematik.The article was published on 1983-12-01. It has received 12 citations till now. The article focuses on the topics: Ricci-flat manifold & Riemannian geometry.read more
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Local Li–Yau’s estimates on RCD^*(K,N) metric measure spaces
Hui-Chun Zhang,Xi-Ping Zhu +1 more
TL;DR: In this paper, a local Li-Yau's estimate for weak solutions of the heat equation and a sharp Yau's gradient for harmonic functions on metric measure spaces, under the Riemannian curvature-dimension condition RCD\(^*(K,N)) were established.
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An estimate for the sectional curvature of cylindricalli bounded submanifolds
TL;DR: For complete immersed cylindrically bounded m-submanifolds φ : M → N × Rl, n+ l ≤ 2m−1 provided that either φ is proper with the second fundamental form with certain controlled growth or M has scalar curvature with strong quadratic decay as mentioned in this paper.
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On semi-kaehler manifolds whose totally real bisectional curvature is bounded from below
U-Hang Ki,Young Jin Suh +1 more
TL;DR: In this paper, the authors introduced the notion of totally real bisectional curvature on a Kaehler manifold and proved that two orthonormal vectors X and Y span a totally real plane if and only if X, Y and JY are orthogonal to each other.
Posted Content
Curvature estimates for properly immersed $\phi_{h}$-bounded submanifolds
TL;DR: In this paper, the properly immersed cylindrically bounded submanifolds were shown to have sharp sectional and mean curvature estimates for a larger class of sub-mansifolds.
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Curvature estimates for properly immersed \phi _{h}-bounded submanifolds
TL;DR: In this article, the authors showed that these estimates hold on properly immersed cylindrically bounded submanifolds, see Theorems 5 and 6 for the results in Sect. 4.
References
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Isometric immersions of Riemannian manifolds
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An estimate for the curvature of bounded submanifolds
L. Jorge,D. Koutroufiotis +1 more
TL;DR: In this article, the supremum of the sectional curvature of a Riemannian manifold is estimated in terms of the curvatures of the manifold and the radius of the ball.
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A complete minimal surface in R3 between two parallel planes
TL;DR: In this paper, it is shown how to produce complete minimal surfaces contained in slabs of R3 by using Runge's theorem to exhibit proper analytic embeddings of the unit disc D c(C in C3.