Results 201 to 210 of about 63,840 (247)
Riemannian Newton Methods for Energy Minimization Problems of Kohn-Sham Type. [PDF]
J Sci ComputAltmann R, Peterseim D, Stykel T.
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Beyond Euclid: an illustrated guide to modern machine learning with geometric, topological, and algebraic structures. [PDF]
Mach Learn Sci TechnolPapillon M +10 more
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Data-driven modeling of subharmonic forced response due to nonlinear resonance. [PDF]
Sci RepAxås J +3 more
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Invariance Principle for Lifts of Geodesic Random Walks. [PDF]
J Theor ProbabJunné J, Redig F, Versendaal R.
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Pointwise bi-slant doubly warped product submanifolds in para-Kaehler manifolds
Sedat Ayaz, Yılmaz Gündüzalp
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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 \(T_x M=T_{\delta(x)} M\).
F. J. Craveiro de Carvalho, Bernd Wegner
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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 \(T_x M=T_{\delta(x)} M\).
F. J. Craveiro de Carvalho, Bernd Wegner
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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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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 C.
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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 C.
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The Jump of the Laplacian on a Submanifold
Mathematische Nachrichten, 1997AbstractAssume that a submanifold M ⊂ ℝn of an arbitrary codimension k ϵ {1, …, n} is closed in some open set O→ℝn. With a given function u ϵ C2(O\M) we may associate its trivial extension u: O→ℝ such that u|O\M=u and u|m ≡ 0. The jump of the Laplacian of the function u on the submanifold M is defined by the distribution Δu — Δu.
Dudek, Ewa, Holly, Konstanty
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