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2017年东复杂现象的几何与数学模型国际会议（International Conference on Geometry and Mathematical Models in Complex Phenomena ）
2017年 东复杂现象的几何与数学模型 国际会议
2017/11/24
International Conference on Geometry and Mathematical Models in Complex Phenomena (ICGMMCP-2017) during December 5th -7th, 2017.There will be special session dedicated to Acharyya Satyendra Nath Bose,...
Performance-based fractal fracture model for complex fracture network simulation
Fractal geometry Fractal fracture model Complex fracture network characterization Contributing reservoir volume Refracturing
2018/4/2
The paper presents a novel hydraulic fracturing model for the characterization and simulation of the complex fracture network in shale gas reservoirs. We go beyond the existing method that uses planar...
SPHERICAL UNITARY DUAL FOR COMPLEX CLASSICAL GROUPS
CLASSICAL GROUPS SPHERICAL UNITARY DUAL
2015/8/17
The full unitary dual for the complex classical groups viewed as real Lie
groups is computed in [B1]. This was close to 20 years ago. Since then there
have been many advances, but the general proble...
In this paper, we use Pacard-Xu's methods to discuss the complex deformation of constant scalar curvature metrics in the case of fixed and varying complex structures. Moreover, we also discuss the com...
Difference bodies in complex vector spaces
Difference bodies complex vector spaces Differential Geometry
2012/6/21
A complete classification is obtained of continuous, translation invariant, Minkowski valuations on an m-dimensional complex vector space which are covariant under the complex special linear group.
Variation of Hodge structure for generalized complex manifolds
Variation of Hodge structure generalized complex manifolds Differential Geometry
2012/5/9
A generalized complex manifold which satisfies the $\partial \overline{\partial}$-lemma admits a Hodge decomposition in twisted cohomology. Using a Courant algebroid theoretic approach we study the be...
Integral geometry of complex space forms
Integral geometry complex space forms Differential Geometry
2012/4/18
Using the language of Alesker's theory of valuations on manifolds, a thorough account of the integral geometry of the complex space forms is given. The local kinematic formulas on complex space forms ...
The complex Goldberg-Sachs theorem in higher dimensions
The complex Goldberg-Sachs theorem higher dimensions Differential Geometry
2011/9/2
Abstract: We study the geometric properties of holomorphic distributions of totally null $m$-planes on a $(2m+\epsilon)$-dimensional complex Riemannian manifold $(\mathcal{M}, \bm{g})$, where $\epsilo...
An analytic approach to the stratified Morse inequalities for complex cones
complex cones stratified Morse inequalities Differential Geometry
2011/8/30
Abstract: In a previous article the author extended the Witten deformation to singular spaces with cone-like singularities and to a class of Morse functions called admissible Morse functions. The meth...
Special Lagrangian 4-folds with $SO(2)\rtimes S_3$-Symmetry in Complex Space Forms
Lagrangian 4-folds Complex Space Forms Differential Geometry
2011/8/25
Abstract: In this article we obtain a classification of special Lagrangian submanifolds in complex space forms subject to an $SO(2)\rtimes S_3$-symmetry on the second fundamental form. The algebraic s...
Homogeneous polar foliations of complex hyperbolic spaces
Polar actions, homogeneous foliations, complex hyperbolic space
2011/8/25
Abstract: We prove that, up to isometric congruence, there are exactly 2n+1 homogeneous polar foliations of the complex hyperbolic space. We also give an explicit description of each of these foliatio...
Stability of extremal metrics under complex deformations
extremal metrics complex deformations Differential Geometry
2011/8/24
Abstract: Let $(\mathcal {X},\Omega)$ be a closed polarized complex manifold, $g$ be an extremal metric on $\mathcal X$ that represents the K\"ahler class $\Omega$, and $G$ be a compact connected subg...
On tangential cohomology attached to a function on complex foliations
complex foliations cohomology
2011/1/18
In this note we study a new cohomology attached to a function along the leaves of complex foliations. We also explain how this cohomology depends on the function and we study a relative cohomology and...
Grafting Real Complex Projective Structures with Fuchsian Holonomy
Grafting Real Complex Projective Structures Fuchsian Holonomy
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 ...
The complex AGM, periods of elliptic curves over C and complex elliptic logarithms
The complex AGM elliptic curves complex elliptic logarithms
2010/11/9
We present a method for computing period lattices and elliptic logarithms for elliptic curves defined over C, using the complex Arithmetic-Geometric Mean (AGM) first studied by Gauss. Earlier authors ...