Results 141 to 150 of about 852 (168)
Geometric-topological deep transfer learning for precise vessel segmentation in 3D medical volumes. [PDF]
NPJ Digit MedWu J, Wen Z, Zhou H, Sun N, Zhang Y.
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Data-driven linearization of dynamical systems. [PDF]
Nonlinear DynHaller G, Kaszás B.
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Periodica Mathematica Hungarica, 2000
A diffeomorphism \(\delta:M\to M\) of a boundaryless \(k\)-dimensional submanifold \(M\) of a Euclidean space \(\mathbb{R}^n\) is called by the authors diametrical with respect to the center \(p\) if \(x\), \(p\) and \(\delta(x)\) \((x\in M)\) are distinct collinear points and \(T_x M=T_{\delta(x)} M\).
Craveiro de Carvalho, F. J. +1 more
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A diffeomorphism \(\delta:M\to M\) of a boundaryless \(k\)-dimensional submanifold \(M\) of a Euclidean space \(\mathbb{R}^n\) is called by the authors diametrical with respect to the center \(p\) if \(x\), \(p\) and \(\delta(x)\) \((x\in M)\) are distinct collinear points and \(T_x M=T_{\delta(x)} M\).
Craveiro de Carvalho, F. J. +1 more
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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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Journal of Geometry, 1993
Generalized Chen submanifolds or \(k\)-th Chen submanifolds are defined. The authors give a characterization of those submanifolds in terms of an operator of J. Simons. They relate these submanifolds to submanifolds of finite type introduced by B. Y. Chen and prove that: Let \(M\) be a compact submanifold in \(E^ m\) with parallel second fundamental ...
Li, Shi-Jie, Houh, Chorng-Shi
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Generalized Chen submanifolds or \(k\)-th Chen submanifolds are defined. The authors give a characterization of those submanifolds in terms of an operator of J. Simons. They relate these submanifolds to submanifolds of finite type introduced by B. Y. Chen and prove that: Let \(M\) be a compact submanifold in \(E^ m\) with parallel second fundamental ...
Li, Shi-Jie, Houh, Chorng-Shi
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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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SUT Journal of Mathematics, 2001
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Geometriae Dedicata, 1986
The author generalizes the definition of isoparametric submanifolds to higher codimensions as follows: a submanifold is isoparametric if the eigenvalues of the shape operator are constant along all parallel curves of normal vectors. Other definitions have been given by \textit{J. Eells} [On equivariant harmonic maps, Proc. Conf. Differ. Geom.
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The author generalizes the definition of isoparametric submanifolds to higher codimensions as follows: a submanifold is isoparametric if the eigenvalues of the shape operator are constant along all parallel curves of normal vectors. Other definitions have been given by \textit{J. Eells} [On equivariant harmonic maps, Proc. Conf. Differ. Geom.
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