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长江大学机械工程学院2023版教学大纲
长江大学 机械工程 2023版 教学大纲
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2024/8/14
长江大学机械工程学院2023版教学大纲。
ENERGY OF TWISTED HARMONIC MAPS OF RIEMANN SURFACES
Riemann surface fundamental group flat bundle harmonic map energy Teichmuller space convex cocompact hyperbolic manifold
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2015/12/17
The energy of harmonic sections of flat bundles of nonpositively curved (NPC) length spaces over a Riemann surface S is a function E ρ on Teichm¨uller space TS which is a qualitative invariant of the ...
CLASSIFICATION OF WEIL-PETERSSON ISOMETRIES
WEIL-PETERSSON ISOMETRIES
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2015/12/17
This paper contains two main results. The first is the existence of an equivariant WeilPetersson geodesic in Teichm¨ uller space for any choice of pseudo-Anosov mapping class. As a consequence one obt...
ON PRODUCTS OF ISOMETRIES OF HYPERBOLIC SPACE
HYPERBOLIC SPACE
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2015/12/17
We show that for arbitrary fixed conjugacy classes C1, . . . , Cl, l ≥ 3, of loxodromic isometries of the two-dimensional complex or quaternionic hyperbolic space there exist isometries g1, . . . , gl...
Scalable Frames and Convex Geometry
Scalable frames tight frames preconditioning Farkas’s lemma
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2015/12/10
The recently introduced and characterized scalable frames can be considered as those frames which allow for perfect preconditioning in the sense that the frame vectors can be rescaled to yield a tight...
A RATIO TEST IN ACTIVE CONTROL NON-INFERIORITY TRIALS WITH A TIME-TO-EVENT ENDPOINT
Active control Fixed margin Fraction retention
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2015/3/18
There are essentially two kinds of non-inferiority hypotheses in an active control trial:
fixed margin and ratio hypotheses. In a fixed margin hypothesis, the margin is a
prespecified constant and t...
关于圈C4h+3的(r1,r2,…,r4h+3)-冠的优美性
圈 冠 优美图
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2012/11/23
给出了圈C4h+3的(r1,r2,…,r4h+3)-冠的定义,讨论了圈C4h+3的(r1,r2,…,r4h+3)-冠的优美性，用构造性的方法给出了一些特殊的圈C4h+3的(r1,r2,…,r4h+3)-冠的优美标号.
On the electron scattering on the one-dimensional complexes: the vertex array method
electron scattering one-dimensional complexes vertex array method
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2011/2/21
The problem of electron scattering on the one-dimensional complexes is considered. We present a novel theoretical approach to solution of the transport problem for a quantum graph.
On the polygonal diameter of the interior, resp. exterior, of a simple closed polygon in the plane
Jordan-Brouwer theorem Jordan exterior (interior) Jordan’s curve theorem
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2011/2/21
We give a tight upper bound on the polygonal diameter of the interior, resp. exterior, of a simple n-gon, n ≥ 3, in the plane as a function of n, and describe an n-gon (n ≥ 3) for which both upper bou...
On the rainbow vertex-connection
rainbow vertex-connection minimum degree
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2011/2/21
A vertex-colored graph is rainbow vertex-connected if any two ver-tices are connected by a path whose internal vertices have distinct colors, which was introduced by Krivelevich and Yuster.
Geometric approach to Hall algebra of representations of Quivers over local ring
Quantum generalized Kac-Moody algebra Hall algebra quiver local ring
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2011/2/25
The category of representations of a Dynkin quiver over local ring R = k[t]/(tn) is not hereditary any more. The Hall algebra defined on this category doesn’t have a well defined coalgebraic structure...
Infinite bubbling in non-Kählerian geometry
Infinite non-Kä hlerian geometry
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2011/2/25
In a holomorphic family (Xb)b∈B of non-K¨ahlerian compact manifolds,the holomorphic curves representing a fixed 2-homology class do not form a proper family in general.
Gauge fixing in (2+1)-gravity: Dirac bracket and spacetime geometry
Gauge fixing (2+1)-gravity: Dirac bracket spacetime geometry
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2011/3/2
We consider (2+1)-gravity with vanishing cosmological constant as a constrained dynamical system. By applying Dirac’s gauge fixing procedure, we implement the constraints and determine the Dirac brack...
Line bundles and the Thom construction in noncommutative geometry
Line bundles Thom construction noncommutative geometry
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2011/1/19
The idea of a line bundle in classical geometry is transferred to noncommutative geometry by the idea of a Morita context. From this we can construct Z and N graded algebras, the Z graded algebra bein...
Geometric invariance of mass-like asymptotic invariants
Geometric invariance mass-like asymptotic invariants
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2011/2/22
We study coordinate-invariance of some asymptotic invariants such as the ADM mass or the
Chruściel-Herzlich momentum, given by an integral over a “boundary at infinity”. When changing the coordi...