Results 11 to 20 of about 67,777,095 (214)

The Seiberg-Witten equations on 3-manifolds with boundary [PDF]

open access: yes, 1999
The Seiberg-Witten equations have proved to be quite powerful in studying smooth 4-manifolds since their landing in 1994. The corresponding Seiberg-Witten theory on closed 3-manifolds can either be obtained by a dimension reduction from the four ...
Yang, Qing
core   +1 more source

Computing one-dimensional global manifolds of Poincaré maps by continuation [PDF]

open access: yes, 2005
We present an algorithm to compute one-dimensional stable and unstable manifolds of saddle periodic orbits in a Poincaré section. The computation is set up as a boundary value problem by restricting the beginning and end points of orbit segments to the ...
England, James   +6 more
core   +1 more source

Geometrical Theory on Combinatorial Manifolds [PDF]

open access: yes, 2005
Topological and differential structures such as those of d-pathwise connected, homotopy classes, fundamental d-groups in topology and tangent vector fields, tensor fields, connections, Minkowski norms in differential geometry on these finitely ...
Mao, Linfan
core   +1 more source

Towards global models near homoclinic tangencies of dissipative diffeomorphisms [PDF]

open access: yes, 1998
A representative model of a return map near homoclinic bifurcation is studied. This model is the so-called fattened Arnold map, a diffeomorphism of the annulus. The dynamics is extremely rich, involving periodicity, quasiperiodicity and chaos. The method
Broer, H; id_orcid   +6 more
core   +2 more sources

Differentiable manifolds modelled on locally convex spaces [PDF]

open access: yes, 2017
We construct differentiable manifolds modelled on locally convex spaces using Yamamuro ' s theory of Γ-differentiation [81], [ 82] , manifolds which we term as Γ-manifolds . Then corresponding to the strong notion of BΓ-differentiability in Yamamuro '
Truong, Công Nghệ
core   +1 more source

Cohomology of D-complex manifolds [PDF]

open access: yes, 2012
In order to look for a well-behaved counterpart to Dolbeault cohomology in D-complex geometry, we study the de Rham cohomology of an almost D-complex manifold and its subgroups made up of the classes admitting invariant, respectively anti-invariant ...
Daniele Angella   +4 more
core   +1 more source

Algorithms for computing normally hyperbolic invariant manifolds [PDF]

open access: yes, 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.,   +10 more
core   +2 more sources

Diversity and complexity in neural organoids

open access: yesFEBS Letters, EarlyView.
Neural organoid research aims to expand genetic diversity on one side and increase tissue complexity on the other. Chimeroids integrate multiple donor genomes within single organoids. Self‐organising multi‐identity organoids, exogenous cell seeding, or enforced assembly of region‐specific organoids contribute to tissue complexity.
Ilaria Chiaradia, Madeline A. Lancaster
wiley   +1 more source

Vector bundles on manifolds: the cohomology of projective algebraic varieties [PDF]

open access: yes, 2004
This Thesis looks at different areas of mathematics which require the notion of a differentiable manifold. The first three chapters contain various materials such as differentiable manifolds, submanifolds, tangent bundles, differential forms ...
Al-Ofi, Abdulaziz Slaim
core  

Teichmüller spaces and HR structures for hyperbolic surface dynamics [PDF]

open access: yes, 2002
We construct a Teichmüller space for the C^{1+}-conjugacy classes of hyperbolic dynamical systems on surfaces. After introducing the notion of an HR structure which associates an affine structure with each of the stable and unstable laminations, we show ...
D. A. RAND   +3 more
core   +1 more source

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