搜索结果: 1-15 共查到“数理逻辑与数学基础 manifolds”相关记录18条 . 查询时间(0.078 秒)
THE PUZZLE CONJECTURE FOR THE COHOMOLOGY OF TWO-STEP FLAG MANIFOLDS
PUZZLE CONJECTURE TWO-STEP FLAG MANIFOLDS
2015/12/17
We prove a conjecture of Knutson asserting that the Schubert
structure constants of the cohomology ring of a two-step flag variety are equal
to the number of puzzles with specified borde...
Conley Conjecture for Negative Monotone Symplectic Manifolds
Conley Conjecture Negative Monotone Symplectic Manifolds
2010/11/24
We prove the Conley conjecture for negative monotone, closed symplectic manifolds, i.e., the existence of infinitely many periodic orbits for Hamiltonian diffeomorphisms of such manifolds.
We study Fredholm properties and index formulas for Dirac operators over complete Riemannian manifolds with straight ends. An important class of examples of such manifolds are complete Riemannian mani...
On complete stable minimal surfaces in 4-manifolds with positive isotropic curvature
minimal surfaces 4-manifolds positive isotropic curvature
2010/11/12
We prove the nonexistence of stable immersed minimal surfaces uniformly conformally equivalent to the complex plane in any complete orientable four-dimensional Riemannian manifold with uniformly posi...
Conformally warped manifolds and quasi-Einstein metrics
Conformally warped manifolds quasi-Einstein metrics
2010/11/18
Smooth metric measure spaces have been studied from the two different perspectives of Bakry-\'Emery and Chang-Gursky-Yang, both of which are closely related to work of Perelman on the Ricci flow. The...
Reconstructions from boundary measurements on admissible manifolds
Reconstructions from boundary measurements admissible manifolds
2010/11/9
We prove that a potential $q$ can be reconstructed from the Dirichlet-to-Neumann map for the Schrodinger operator $-\Delta_g + q$ in a fixed admissible 3-dimensional Riemannian manifold $(M,g)$. We a...
Intersection of stable and unstable manifolds for invariant Morse functions
unstable manifolds invariant Morse functions
2010/11/19
We study the structure of the smooth manifold which is defined as the intersection of a stable manifold and an unstable manifold for an invariant Morse-Smale function.
The Connes-Chern Character and The Atiyah-Patodi-Singer Index Theorem for Odd Dimensional Manifolds with Boundary
The Connes-Chern Character The Atiyah-Patodi-Singer Index Theorem
2010/11/9
We prove an analogue for odd dimensional manifolds with boundary, in the $b$-calculus setting, of the higher Atiyah-Patodi-Singer index theorem by Getzler and by Wu.
Unconstrained steepest descent method for multicriteria optimization on Riemmanian manifolds
Steepestdescent Paretooptimality Vectoroptimization
2010/11/8
In this paper we present a steepest descent method with Armijo's rule for multicriteria optimization in the Riemannian context. The well definedness of the sequence generated by the method is guarant...
Existence of isoperimetric regions in contact sub-Riemannian manifolds
isoperimetric regions sub-Riemannian manifolds
2010/11/9
We prove existence of regions minimizing perimeter under a volume constraint in contact sub-Riemannian manifolds such that their quotient by the group of contact transformations preserving the sub-Rie...
Cohomology and Hodge Theory on Symplectic Manifolds: II
Cohomology Hodge Theory Symplectic Manifolds: II
2010/11/11
We show that the exterior derivative operator on a symplectic manifold has a natural decomposition into two linear differential operators, analogous to the Dolbeault operators in complex geometry. The...
To a rational homology sphere graph manifold one can associate a weighted tree invariant called splice diagram. It was shown earlier that the splice diagram determines the universal abelian cover of ...
For non-compact manifolds with boundary we prove that bounded geometry defined by coordinate-free curvature bounds is equivalent to bounded geometry defined using bounds on the metric tensor in geode...
Some boundedness results for Fano-like Moishezon manifolds
boundedness results Fano-like Moishezon manifolds
2010/11/1
We prove finiteness of the number of smooth blow-downs on Fano manifolds and boundedness results for the geometry of non projective Fano-like manifolds. Our proofs use properness of Hilbert schemes an...
Triangular de Rham Cohomology of Compact Kahler Manifolds
Triangular de Rham Cohomology Compact Kahler Manifolds
2010/10/29
We study the de Rham 1-cohomology H^1_{DR}(M,G) of a smooth manifold M with values in a Lie group G. By definition, this is the quotient of the set of flat connections in the trivial principle bundle...