搜索结果: 1-15 共查到“几何学 structures”相关记录16条 . 查询时间(0.187 秒)
ESSENTIAL KILLING FIELDS OF PARABOLIC GEOMETRIES: PROJECTIVE AND CONFORMAL STRUCTURES
PARABOLIC GEOMETRIES PROJECTIVE
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2015/10/14
We use the general theory developed in our article [1]
in the setting of parabolic geometries to reprove known results on
special in nitesimal automorphisms of projective and conformal
geometries.
CONVEX REAL PROJECTIVE STRUCTURES ON CLOSED SURFACES ARE CLOSED
REAL PROJECTIVE STRUCTURES CLOSED SURFACES
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2015/9/29
T. The deformation space t(E) of convex Rp2_ structures on a closed
surface Y with X(z) < 0 is closed in the space Hom(7r, SL(3, IR))/SL(3, IR)
of equivalence classes of representations r1 (l) -- ...
Geometric structures invariant to symmetries
symmetric spaces geometric structures Cartan geometries parabolic geometries homogeneous spaces extension functors
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2012/7/11
We introduce and discuss (local) symmetries of geometric structures. These symmetries generalize the classical (locally) symmetric spaces to various other geometries. Our main tools are homogeneous Ca...
General construction of symmetric parabolic structures
parabolic geometries contact geometries symmetric spaces extension functors
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2012/7/11
First we introduce a generalization of symmetric spaces to parabolic geometries. We provide construction of such parabolic geometries starting with classical symmetric spaces and we show that all regu...
(para)-Kahler Weyl structures
(para)-Kahler Weyl structures Differential Geometry
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2012/4/23
We work in both the complex and in the para-complex categories and examine (para)-K\"ahler Weyl structures in both the geometric and in the algebraic settings. The higher dimensional setting is quite ...
Sub-Riemannian structures corresponding to K鋒lerian metrics on the universal Teichmueller space and curve
Teichmuller space group of diffeomorphisms Lie-Frechet group Virasoro-Bott group Virasoro algebra sub-Riemannian geometry
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2012/2/29
We consider the group of sense-preserving diffeomorphisms $\Diff S^1$ of the unit circle and its central extension, the Virasoro-Bott group, with their respective horizontal distributions chosen to be...
Para-CR Structures on almost Paracontact Metric Manifolds
Para-CR manifolds para-Sasakian manifolds almost paracontact metric manifolds paracontact metric manifolds
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2012/3/1
Almost paracontact metric manifolds are the famous examples of almost para-CR manifolds. We find necessary and suffcient conditions for such manifolds for be para-CR. Next we examine these conditions ...
Contact structures on principal circle bundles
principal circle bundles Symplectic Geometry
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2011/9/20
Abstract: We describe a necessary and sufficient condition for a principal circle bundle over an even-dimensional manifold to carry an invariant contact structure. As a corollary it is shown that all ...
Local Equivalence Problem for Sub-Riemannian Structures
Sub-Riemannian Structures Differential Geometry
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2011/9/15
Abstract: We solve the local equivalence problem for sub-Riemannian structures on (2n + 1)-dimensional manifolds. We show that two sub-Riemannian structures are locally equivalent if and only if? thei...
The Local Product Theorem for bihamiltonian structures
The Local Product Theorem bihamiltonian structures Symplectic Geometry Differential Geometry
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2011/9/2
Abstract: In this work one proves that, around each point of a dense open set (regular points), a real analytic or holomorphic bihamiltonian structure decomposes into a product of a Kronecker bihamilt...
Grafting Real Complex Projective Structures with Fuchsian Holonomy
Grafting Real Complex Projective Structures Fuchsian Holonomy
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2011/1/20
Let G(S, ρ) be a graph whose vertices are complex projective struc-tures with holonomy ρ and whose edges are graftings from one vertex to another. If ρ is quasi-Fuchsian, a theorem of Goldman implies ...
Weyl structures for parabolic geometries
Weyl structures parabolic geometries
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2010/11/1
Motivated by the rich geometry of conformal Riemannian manifolds and by the recent development of geometries modeled on homogeneous spaces $G/P$ with $G$ semisimple and $P$ parabolic, Weyl structures...
Some (non-)elimination results for curves in geometric structures
Some (non-)elimination results curves geometric structures
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2010/11/17
Chevaley-Tarski theorem insures that the projection of a constructible set of $\C ^n$ is also a constructible set. In this note we prove that the projection of a finite boolean combination of algebra...
Affine Manifolds, Log Structures, and Mirror Symmetry
Affine Manifolds Log Structures Mirror Symmetry
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2010/3/1
We outline work in progress suggesting an algebro-geometric version of the Strominger-Yau-Zaslow conjecture. We define the notion of a toric degeneration, a special case of a maximally unipotent degen...
Jacobi structures on affine bundles
Vector and affine bundles Jacobi manifolds Lie algebroids
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2007/12/13
We study affine Jacobi structures (brackets) on an affine bundle $\pi:A\to M$, i.e. Jacobi brackets that close on affine functions. We prove that if the rank of $A$ is non-zero, there is a one-to-one ...