Results 11 to 20 of about 118,819 (179)

Polyhedral approximations of Riemannian manifolds [PDF]

, 2022
an old paper with minor ...
Petrunin, Anton
core   +5 more sources

One-Dimensional Polyhedral Irregular Sets of Homeomorphisms of 3-Manifolds [PDF]

Transactions of the American Mathematical Society, 1975
Examples are given to show that there exist homeomorphisms of open 3 3 -manifolds whose sets of irregular points are wildly
Husch, L. S., Row, W. H.
openaire   +2 more sources

The homotopy type of the polyhedral product for shifted complexes [PDF]

, 2013
We prove a conjecture of Bahri, Bendersky, Cohen and Gitler: if K is a shifted simplicial complex on n vertices,X1,...,Xn are pointed connected CW-complexes and CXi is the cone on Xi, then the polyhedral product determined by K and the pairs (C Xi , Xi )
Theriault, Stephen, Grbić, Jelena
core   +1 more source

Impulse Gauss Curvatures [PDF]

, 2004
In Riemannian (differential) geometry, the differences between Euclidean geometry, elliptic geometry, and hyperbolic geometry are understood in terms of curvature.
Iseri, Howard
core   +1 more source

Stellar neighborhoods in polyhedral manifolds [PDF]

Proceedings of the American Mathematical Society, 1963
Introduction. It is the purpose of this paper to give some weaker analogues for polyhedral manifolds of well-known properties of combinatorial manifolds. This is now possible primarily because of the recent work of Mazur [3; 4] and M. Brown [1].
openaire   +1 more source

Modular frobenius manifolds and their invariant flows [PDF]

, 2010
The space of Frobenius manifolds has a natural involutive symmetry on it: there exists a map I which sends a Frobenius manifold to another Frobenius manifold.
I. A. B. Strachan, Morrison, E.K., E. K. Morrison, Strachan, I.   +3 more
core   +1 more source

Algorithms for computing normally hyperbolic invariant manifolds [PDF]

, 1997
An effcient algorithm is developed for the numerical computation of normally hyperbolic invariant manifolds, based on the graph transform and Newton's method.
Vegter, G.,, Broer, H.W., Vegter, G, Osinga, H.M.,, Vegter, G.; id_orcid, Broer, H.W.,, Osinga, HM, Broer, H.W.; id_orcid, Vegter, G., Osinga, H.M., Broer, HW   +10 more
core   +2 more sources

Dubrovin's duality for F-manifolds with eventual identities [PDF]

, 2011
A vector field <i>E</i> on an <i>F</i>-manifold (M, o, e) is an eventual identity if it is invertible and the multiplication X*Y := X o Y o E^{-1} defines a new F-manifold structure on <i>M</i>.
Ian A.B. Strachan, David, Liana, Liana David, Strachan, Ian A.B.   +3 more
core   +1 more source

Continuous flattening of all polyhedral manifolds using countably infinite creases [PDF]

Computational Geometry, 2021
We prove that any finite polyhedral manifold in 3D can be continuously flattened into 2D while preserving intrinsic distances and avoiding crossings, answering a 19-year-old open problem, if we extend standard folding models to allow for countably infinite creases.
Zachary Abel, Erik D. Demaine, Martin L. Demaine, Jason S. Ku, Jayson Lynch, Jin-ichi Itoh, Chie Nara   +6 more
openaire   +4 more sources

Rigidity, volume and angle structures of 1-3 type hyperbolic polyhedral 3-manifolds [PDF]

In this paper, we study the rigidity of hyperbolic polyhedral 3-manifolds and the volume optimization program of angle structures. We first study the rigidity of decorated 1-3 type hyperbolic polyhedral metrics on 3-manifolds which are isometric gluing ...
Ke, Feng, Huabin, Ge, Chunlei, Liu
core   +9 more sources