Results 31 to 40 of about 26,790 (168)
Brieskorn submanifolds, local moves on knots, and knot products [PDF]
Journal of Knot Theory and Its Ramifications, 2019 We first prove the following: Let [Formula: see text] and [Formula: see text]. Let [Formula: see text] and [Formula: see text] be closed, oriented, [Formula: see text]-dimensional [Formula: see text]-connected, simple submanifolds of [Formula: see text].
Kauffman, Louis H., Ogasa, Eiji
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Local rigidity, symplectic homeomorphisms, and coisotropic submanifolds [PDF]
Bulletin of the London Mathematical Society, 2022 We introduce the notion of a point on a locally closed subset of a symplectic manifold being "locally rigid" with respect to that subset, prove that this notion is invariant under symplectic homeomorphisms, and show that coisotropic submanifolds are distinguished among all smooth submanifolds by the property that all of their points are locally rigid ...
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Isoparametric and Dupin Hypersurfaces [PDF]
, 2008 A hypersurface $M^{n-1}$ in a real space-form ${\bf R}^n$, $S^n$ or $H^n$ is isoparametric if it has constant principal curvatures. For ${\bf R}^n$ and $H^n$, the classification of isoparametric hypersurfaces is complete and relatively simple, but as ...
Cecil, Thomas E.
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Remote Sensing, 2019 Hyperspectral images (HSI) possess abundant spectral bands and rich spatial information, which can be utilized to discriminate different types of land cover. However, the high dimensional characteristics of spatial-spectral information commonly cause the
Guangyao Shi +4 more
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MathematicsIn this paper, we investigate contact skew CR-warped product submanifolds of locally conformal almost cosymplectic manifolds, a framework that simultaneously generalizes warped product pseudo-slant, semi-slant, and contact CR-submanifolds.
Ali H. Alkhaldi +3 more
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On some submanifolds of a locally product manifold [PDF]
Kodai Mathematical Journal, 1986 In this paper the author defines a cohomology class for each compact semi-invariant submanifold M of a locally product Riemannian manifold M' and uses this cohomology class to obtain a necessary condition for the semi-invariant submanifold to have certain non-vanishing cohomology groups. He also studies the stability of anti-invariant submanifolds in a
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, 2007 Let U be a real form of a complex semisimple Lie group, and tau, sigma, a pair of commuting involutions on U. This data corresponds to a reflective submanifold of a symmetric space, U/K.
Ablowitz +33 more
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A Fourier transform for sheaves on Lagrangian families of real tori
, 2001 We systematically develop a transform of the Fourier-Mukai type for sheaves on symplectic manifolds $X$ of any dimension fibred in Lagrangian tori. One obtains a bijective correspondence between unitary local systems supported on Lagrangian submanifolds ...
Aspinwall +12 more
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Shape operator of an $ (n-1) $-dimensional distribution on an $ n $-dimensional manifold and their classification [PDF]
ریاضی و جامعهThis paper aims to study of shape operator of an $ (n-1) $-dimensional distribution on an $ n $-dimensional smooth manifold. In this study firstly we state formulae for the shape operator and its symmetric and anti-symmetric components and in ...
Mehran Aminian, Mehran Namjoo
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Deformations of coisotropic submanifolds and strong homotopy Lie algebroids
, 2005 In this paper, we study deformations of coisotropic submanifolds in a symplectic manifold. First we derive the equation that governs $C^\infty$ deformations of coisotropic submanifolds and define the corresponding $C^\infty$-moduli space of coisotropic ...
Alexandrov +18 more
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