搜索结果: 1-15 共查到“几何学 conformal”相关记录26条 . 查询时间(0.033 秒)
ESSENTIAL KILLING FIELDS OF PARABOLIC GEOMETRIES: PROJECTIVE AND CONFORMAL STRUCTURES
PARABOLIC GEOMETRIES PROJECTIVE
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.
CONFORMAL ACTIONS OF NILPOTENT GROUPS ON PSEUDO-RIEMANNIAN MANIFOLDS
CONFORMAL ACTIONS PSEUDO-RIEMANNIAN MANIFOLDS
2015/10/14
We study conformal actions of connected nilpotent Lie groups
on compact pseudo-Riemannian manifolds. We prove that if a type-(p,q)
compact manifold M supports a conformal action of a connected nilpo...
A class of variational functionals in conformal geometry
A class of variational functionals in conformal geometry
2014/4/3
We derive a class of variational functionals which arise naturally in
conformal geometry. In the special case when the Riemannian manifold is locally conformal flat, the functional coincides wi...
In this artile we review some reent work on fourth order equations in onformal geometry of three and four dimensions. We dis uss some an existene result for a Yamabe-type equation in dimension three. ...
Fractional Laplacian in conformal geometry
Conformal geometry Fractional Laplacian Conformally covariant operators Dirichlet-to-Neumann operators Asymptotically hyperbolic manifolds
2014/4/3
In this note, we study the connection between the fractional Laplacian operator that appeared in the recent work of Caffarelli and Silvestre and a class of conformally covariant operators in conformal...
In this paper we describe our current research in the theory of partial di erential equations in conformal geometry. We introduce a bubble tree structure to study the degeneration of a class of Yamabe...
ON UNIQUENESS OF SOLUTION OF A n-TH ORDER DIFFERENTIAL EQUATION IN CONFORMAL GEOMETRY
ON UNIQUENESS OF SOLUTION A n-TH ORDER DIFFERENTIAL EQUATION CONFORMAL GEOMETRY
2014/4/3
In this paper, we prove an uniqueness theorem for a n-th order elliptic equation on the standard n-sphere Sn. The problem arises naturally from the point of view of conformal geometry. The method we u...
The work is collaborated with Shing-Tung Yau, Feng Luo, Tony
Chan, Paul Thompson, Yalin Wang, Ronald Lok Ming Lui, Hong
Qin, Dimitris Samaras, Jie Gao, Arie Kaufman, and many other
mathematicians, ...
Maximization of the second conformal eigenvalue of spheres
Maximization the second conformal eigenvalue spheres Spectral Theory
2012/6/14
We establish in this paper an upper bound on the second eigenvalue of n-dimensional spheres in the conformal class of the round sphere. This upper bound holds in all dimensions and is asymptotically s...
On properly essential classical conformal diffeomorphism groups
Essential and properly essential conformal group classical conformal diffeomorphism group cohomological equation orbit of tensor field
2011/9/22
Abstract: We prove that various classical conformal diffeomorphism groups, which are known to be essential [1], are in fact properly essential. This is a consequence of a local criterion on a conforma...
Conformal pure radiation with parallel rays
Pure radiation parallel rays pp–waves conformal geometry tractor calculus
2011/8/30
Abstract: We define pure radiation metrics with parallel rays to be n-dimensional pseudo-Riemannian metrics that admit a parallel null line bundle K and whose Ricci tensor vanishes on vectors that are...
Abstract: For $(M,[g])$ a conformal manifold of signature $(p,q)$ and dimension at least three, the conformal holonomy group $\mathrm{Hol}(M,[g]) \subset O(p+1,q+1)$ is an invariant induced by the can...
Conformal Killing vector fields and Rellich type identities on Riemannian Manifolds, II
Riemannian Manifolds Killing vector fields Rellich identities
2011/1/21
We propose a general Noetherian approach to Rellich integral identities. Using this method we obtain a higher order Rellich type identity involving the polyharmonic operator on Riemannian manifolds ad...
Shifted Riccati Procedure: Application to Conformal Barotropic FRW Cosmologies
factorization shifted Riccati procedure barotropic FRW cosmologies
2011/3/2
In the case of barotropic FRW cosmologies, the Hubble parameter in conformal time is the solution of a simple Riccati equation of constant coefficients. We consider these cosmologies in the framework ...
Group-Theoretical Classification of BPS and Possibly Protected States in D=4 Conformal Supersymmetry
Group-Theoretical Classification of BPS Possibly Protected States D=4 Conformal Supersymmetry
2011/3/3
We use earlier results on the classification of the positive energy unitary irreducible representations of the N-extended D=4 conformal superalgebras su(2,2/N). These results are applied to the reduct...