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长江大学机械工程学院2023版教学大纲。
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 ...
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...
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...
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...
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...
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.
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.
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...
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.
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...
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.
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...
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...
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...

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