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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A family of Monge-Ampère type operators converging to sigma_k, and their Minkowski problems
sigma_k汇聚 蒙日安培型 算子家族 闵可夫斯基问题
2023/4/17
We introduced a new family of translation invariant geometric measures arising from Integral Geometry of convex bodies. These measures are related to a family of new Monge-Ampère type operators conver...
HARNACK INEQUALITY AND HYPERBOLICITY FOR SUBELLIPTIC p-LAPLACIANS WITH APPLICATIONS TO PICARD TYPE THEOREMS
HARNACK INEQUALITY HYPERBOLICITY
2015/8/26
Let M be a complete non-compact Riemannian manifold. For p ∈ (1,+∞),
let Δp be the p-Laplace operator on M. One says that M is p-hyperbolic
if there exists a Green function for Δp (see [Ho1,2]); oth...
A Note on Gluing Dirac Type Operators on a Mirror Quantum Two-Sphere
Gluing Dirac Type Operators Mirror Quantum Two-Sphere
2014/12/12
The goal of this paper is to introduce a class of operators, which we call quantum Dirac type operators on a noncommutative sphere, by a gluing construction from copies of noncommutative disks, subjec...
Construction of minimal surfaces with special type ends
minimal surface total curvature end winding order
2011/9/28
We proved that there exists a family of complete oriented minimal surfaces in $R^3$ with finite total curvature $-4n\\pi$, each of which has 0 genus and two ends, and both of the ends have winding ord...
Supergravity as Generalised Geometry I: Type II Theories
Supergravity Generalised Geometry I High Energy Physics - Theory
2011/9/30
Abstract: We reformulate ten-dimensional type II supergravity as a generalised geometrical analogue of Einstein gravity, defined by an $O(9,1)\times O(1,9)\subset O(10,10)\times\bbR^+$ structure on th...
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...
If G is a group with a presentation of the form hx, y|x3 = y3 = W(x, y)2 = 1i, then either G
is virtually soluble or G contains a free subgroup of rank 2. This provides additional evidence
in favour...
We give a necessary and sufficient condition in order for a hyperplane arrangement to be of Torelli type, namely that it is recovered as the set of unstable hyperplanes of its Dolgachev sheaf of loga...
Boundary value problems on Riemannian Symmetric Spaces of the noncompact Type
Boundary value problems Riemannian the noncompact Type
2010/11/11
We characterize the image of the Poisson transform on each boundary component of a Riemannian symmetric space of the noncompact type by a system of differential equations. The system corresponds to a...
Toward Berenstein-Zelevinsky data in affine type $A$, I: Construction of affine analogs
Berenstein-Zelevinsky data affine type $A$
2010/12/10
We give (conjectural) analogs of Berenstein-Zelevinsky data for affine type A. Moreover,by using these affine analogs of Berenstein-Zelevinsky data, we realize the crystal basis of the negative part o...
Bianchi type II,III and V diagonal Einstein metrics re-visited
diagonal Einstein metrics re-visited minkowskian and euclidean
2010/4/2
We present, for both minkowskian and euclidean signatures, short derivations of the diagonal Einstein metrics for Bianchi type II, III and V. For the first two cases we show the integrability of the g...
On compatible metrics and diagonalizability of non-locally bi-Hamiltonian systems of hydrodynamic type
hydrodynamic type bi-Hamiltonian systems
2010/4/7
We study bi-Hamiltonian systems of hydrodynamic type with non-singular (semisimple) non-local bi-Hamiltonian structures and prove that such systems of hydrodynamic type are diagonalizable. Moreover, w...
专著信息
书名
Two interface type methods for computing hyperbolic systems with geometrical source terms having concentrations,
语种
英文
撰写或编译
作者
S. Jin,Xin Wen
第一作者单位
出版社
SIAM J. Scientific Computing 26, 2079-...
Lightlike Hypersurfaces of Semi-Euclidean Spaces Satisfying Curvature Conditions of Semisymmetry Type
Degenerate metric Screen conformal lightlike hypersurface Parallel lightlike hypersurface Semi-symmetric lightlike hypersurface
2010/2/26
In this paper, we investigate lightlike hypersurfaces which are semi-symmetric, Ricci semi-symmetric, parallel or semi-parallel in a semi-Euclidean space. We obtain that every screen conformal lightli...
Some Graph Type Hypersurfaces in a Semi-Euclidean Space
graph lightlike hypersurface minimal semi-Euclidean space totally geodesic
2010/3/1
We consider some graph type hypersurfaces in a semi-Euclidean space \Bbb Rn+1q and give conditions of the dimension n+1 and the index q when a hypersurface is lightlike, totally geodesic and minimal.