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In this talk, we are mainly concerned with invariant geometric flows in affine-related geometries including centro-equiane, centro-affine, affine and affine-symplectic geometries. First, we show that ...
STRONGLY ESSENTIAL FLOWS ON IRREDUCIBLE PARABOLIC GEOMETRIES     STRONGLY ESSENTIAL FLOWS  GEOMETRIES       font style='font-size:12px;'> 2015/10/14
We study the local geometry of irreducible parabolic geometries admitting strongly essential ows; these are ows by local automorphisms with higher-order xed points. We prove several new rigidit...
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.
ESSENTIAL KILLING FIELDS OF PARABOLIC GEOMETRIES     PARABOLIC GEOMETRIES  geometric       font style='font-size:12px;'> 2015/10/14
We study vector elds generating a local ow by automorphisms of a parabolic geometry with higher order xed points. We develop general tools extending the techniques of [1], [2], and [3], and we a...
A Frobenius theorem for Cartan geometries, with applications     applications  Cartan geometries       font style='font-size:12px;'> 2015/10/14
We prove analogues for Cartan geometries of Gromov's major theorems on automorphisms of rigid geometric structures. The starting point is a Frobenius theorem, which says that in nitesimal automorphis...
An embedding theorem for automorphism groups of Cartan geometries     Cartan geometries  embedding theorem       font style='font-size:12px;'> 2015/10/14
The main motivation of this paper arises from classical questions about actions of Lie groups preserving a geometric structure: which Lie groups can act on a manifold preserving a given structure, a...
Sub-Geometries of Lie Sphere Differential Geometry     Sub-Geometries  Lie Sphere Differential Geometry       font style='font-size:12px;'> 2015/3/24
Sub-Geometries of Lie Sphere Differential Geometry.
Weyl structures for parabolic geometries     Weyl structures  parabolic geometries       font style='font-size:12px;'> 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...
ométries relatives (Relative geometries)      Model Theory  Amalgamation methods  CM-triviality  Geometry,Group  Definability       font style='font-size:12px;'> 2010/11/29
R´esum´e. Une analyse des propri´et´es g´eom´etriques d’une structure relatives `a un reduit est entam´ee. En particulier la d´efinissabilit´e des...
TRANSFORMATION THEOREMS AMONG CAYLEY-KLEIN GEOMETRIES           font style='font-size:12px;'> 2007/8/7
A theorem of transformation between two geometries is proved on the basis of Wu's method of mechanical theorem proving. By using this theorem for Cayley-Klein geometries of dimension two, we prove tha...
期刊信息 篇名 Geometries and stabilities of Re-doped Sin(n=1-12) clusters: A density functional investigation 语种 英文 撰写或编译 作者 J G Han,R. Y. Ren,B. Z. Lu 第一作者单位 刊物名称 J. Phys. Chem 页面 A108, 5100-5110(2004 出版日期...

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