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Define for a smooth compact hypersurface $M^{n}$ of $R^{n + 1}$ its crumpleness $κ (M^{n})$ as the ratio ${diam}_{R^{n + 1}} (M^{n}) / r (M^{n})$ , where $r (M^{n})$ is the distance from $M^{n}$ to its central set. (In other words, $r (M^{n})$ is the maximal radius of an open non-selfintersecting tube around $M^{n}$ in $R^{n + 1} .)$ We prove that any $n$ -dimensional non-singular compact algebraic hypersurface of degree $d$ is rigidly isotopic to an algebraic hypersurface of degree $d$ and of crumpleness $\leq exp (c (n) d^{α (n) d^{n + 1}})$ . Here $c (n)$ , $α (n)$ depend only on $n$ , and rigid isotopy means an isotopy passing only through hypersurfaces of degree...

Sphères d'homologie rationnelle

André Gramain (1974/1975)

Séminaire Bourbaki

Straightening cell decompositions of cusped hyperbolic 3-manifolds

Marina Pescini (1998)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Let $M$ be an oriented cusped hyperbolic 3-manifold and let $τ$ be a topological ideal triangulation of $M$ . We give a characterization for $τ$ to be isotopic to an ideal geodesic triangulation; moreover we give a characterization for $τ$ to flatten into a partially flat triangulation. Finally we prove that straightening combinatorially equivalent topological ideal cell decompositions gives the same geodesic decomposition, up to isometry.

In this work, we prove that every closed, orientable 3-manifold M3 which is a two-fold covering of S3 branched over a link, has type six.

Многообразия гомотопического типа произведения двух проективных пространств

А.Ф. Харшиладзе (1975)

Matematiceskij sbornik

Трехмерные гомологические сферы и зацепления с многочленом Александeра I

В.Г. Тураев (1982)

Zapiski naucnych seminarov Leningradskogo

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On the genus of RP3 x S1.

On the triangulation of smooth fibre bundles

Pachner move $3 \to 3$ and affine volume-preserving geometry in $ℝ^{3}$ .

Rigidity and the lower bound Theorem l.

Simplicial manifolds, bistellar flips and a 16-vertex triangulation of the Poincaré homology 3-sphere.

Simplicial maps from the 3-sphere to the 2-sphere.

Smooth Equivariant Triangulations of G-Manifolds for G a Finite Group.

Smoothing of real algebraic hypersurfaces by rigid isotopies

Sphères d'homologie rationnelle

Straightening cell decompositions of cusped hyperbolic 3-manifolds

Taut ideal triangulations of 3-manifolds.

The Equivariant Triangulation Theorem for Actions of Compact Lie Groups.

The Rhombidodecahedral Tessellation of 3-Space and a Particular 15-Vertex Triangulation of the 3-Dimensional Torus.

The size of triangulations supporting a given link.

Three-dimensional pseudomanifolds on eight vertices.

Triangulations of 3-dimensional pseudomanifolds with an application to state-sum invariants.

Triangulations of integral polytopes and Ehrhart polynomials.

Two-fold branched coverings of S3 have type six.

Многообразия гомотопического типа произведения двух проективных пространств

Трехмерные гомологические сферы и зацепления с многочленом Александeра I

Currently displaying 41 – 60 of 60