Results 191 to 200 of about 7,649 (232)
Some of the next articles are maybe not open access.
Journal of Geometric Analysis, 2011
From the author's abstract: We propose an answer to a question raised by F. Burstall: Is there any interesting theory of isothermic submanifolds of \(\mathbb{R}^n\) of dimension greater than two? We call an \(n\)-immersion \(f(x)\) in \(\mathbb{R}^m\) isothermic\(_k\) if the normal bundle of \(f\) is flat and \(x\) is a line of curvature coordinate ...
Donaldson, Neil, Terng, Chuu-Lian
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From the author's abstract: We propose an answer to a question raised by F. Burstall: Is there any interesting theory of isothermic submanifolds of \(\mathbb{R}^n\) of dimension greater than two? We call an \(n\)-immersion \(f(x)\) in \(\mathbb{R}^m\) isothermic\(_k\) if the normal bundle of \(f\) is flat and \(x\) is a line of curvature coordinate ...
Donaldson, Neil, Terng, Chuu-Lian
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The Quarterly Journal of Mathematics, 1997
The second author defined in [\textit{C. Olmos}, J. Differ. Geom. 39, 605-627 (1994; Zbl 0806.53054)] the rank of a homogeneous submanifold of a Euclidean space as the maximal number of locally defined and linearly independent parallel normal vector fields.
Console, Sergio, Olmos, Carlos
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The second author defined in [\textit{C. Olmos}, J. Differ. Geom. 39, 605-627 (1994; Zbl 0806.53054)] the rank of a homogeneous submanifold of a Euclidean space as the maximal number of locally defined and linearly independent parallel normal vector fields.
Console, Sergio, Olmos, Carlos
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IEEE Transactions on Circuits and Systems for Video Technology, 2014
Ya Su +3 more
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Ya Su +3 more
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2004
Abstract The prototypical submanifold is a surface in ordinary space. There are various ways of describing surfaces in ordinary space.
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Abstract The prototypical submanifold is a surface in ordinary space. There are various ways of describing surfaces in ordinary space.
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Statistical submanifolds from a viewpoint of the Euler inequality
Information Geometry, 2020Naoto Satoh +2 more
exaly
Golden GCR-Lightlike Submanifolds of Golden Semi-Riemannian Manifolds
Mediterranean Journal of Mathematics, 2020Nergiz Poyraz
exaly
Stability Of Minimal Submanifolds
1981In this lecture I Will describe some recent results on stability of minimal submanifolds in a Riemannian manifold. Although I have covered a large segment of the literature, no claim is made of this being an extensive survey on the topic of the title.
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