Results 11 to 20 of about 1,087,957 (214)
A frame energy for immersed tori and applications to regular homotopy classes [PDF]
, 2013 The paper is devoted to study the Dirichelet energy of moving frames on 2-dimensional tori immersed in the euclidean $3\leq m$-dimensional space. This functional, called Frame energy, is naturally linked to the Willmore energy of the immersion and on the
Andrea Mondino, T. Rivière
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Positive Legendrian regular homotopies [PDF]
, 2009 In contrast with what happens for Legendrian embeddings, there always exist positive loops of Legendrian immersions.
François Laudenbach
+7 more sources
Homotopy Type of the Neighborhood Complexes of Graphs of Maximal Degree at most 3 and 4-Regular Circulant Graphs [PDF]
Electronic Journal of Combinatorics, 2018 To estimate the lower bound for the chromatic number of a graph $G$, Lovász associated a simplicial complex $\mathcal{N}(G)$ called the neighborhood complex and related the topological connectivity of $\mathcal{N}(G)$ to the chromatic number of $G ...
Samir Shukla
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Links of singularities up to regular homotopy [PDF]
Journal of Singularities, 2014 The abstract link L_d of the complex isolated singularity x^2 + y^2 + z^2 + v^{2d} = 0 is diffeomorphic to S^3 \times S^2. We classify the embedded links of these singularities up to regular homotopies precomposed with diffeomorphisms of S^3 \times S^2. Let us denote by i_d the inclusion of L_d in S^7. We show that for arbitrary diffeomorphisms _d of
Katanaga, Atsuko +2 more
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, 2018 In this study, we consider the wave equation with cubic damping with its initial conditions. Homotopy Perturbation Method (HPM), Regular Pertubation Method (RPM) and Adomian decomposition Method (ADM) are applied to this equation.
Moussa Bagayogo +2 more
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On Homotopy Regular Morphism in the Category of Topological Pairs
Pure Mathematics, 2013 本文将点标拓扑空间范畴中的同伦单、同伦满和同伦正则态射等概念推广到拓扑空间偶范畴的情形。研究了在中，同伦正则态射存在的条件、性质以及它与同伦单(满)态和同伦等价之间的关系。 In this paper, the concepts of homotopy monomorphism (epimorphism) and homotopy regular morphism in the category of topological space with base point are generalized to the category of topological pairs .
有华 钱
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On regular homotopy of branched coverings of the sphere
Manuscripta Mathematica, 1977 Let Mn be an orientable closed n-manifold and f, g: Mn→Sn branched coverings of the n-sphere Sn. It is a theorem of H. Hopf that if f and g have the same degree then f and g are homotopic. Our interest is to find out whether f and g are then also regular homotopic, that is to say whether there is a level preserving branched covering H: Mn×I→Sn×I such ...
U. Hirsch
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Automorphisms and Embeddings of Surfaces and Quadruple Points of Regular Homotopies [PDF]
Journal of Differential Geometry, 2001 The author studies a regular homotopy invariant \(Q(\cdot,\cdot)\) of immersions. Let \(i,\;i':F\to \mathbb{R}^3\) be two generic immersions of an orientable closed surface \(F\) to 3-dimensional Euclidean space \(\mathbb{R}^3\), having a generic regular homotopy between them.
Tahl Nowik
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Spin structures and codimension two embeddings of 3-manifolds up to regular homotopy [PDF]
, 2002 O. Saeki, Masamichi Takase
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Quadruple points of regular homotopies of surfaces in 3-manifolds [PDF]
Topology, 2000 Let GI denote the space of all generic immersions of a surface F into a 3-manifold M. Let q(H_t) denote the number mod 2 of quadruple points of a generic regular homotopy H_t : F -> M. We are interested in defining an invariant Q : GI -> Z/2 such that q(H_t) = Q(H_0) - Q(H_1) for any generic regular homotopy H_t : F -> M.
Tahl Nowik
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