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Alexander polynomial and spanning trees

期刊: INTERNATIONAL JOURNAL OF MATHEMATICS, 2021; 32 (08)

Inspired by the combinatorial constructions in earlier work of the authors that generalized the classical Alexander polynomial to a large class of spa......

Comparison theorems on Riemannian-Finsler manifolds with curvature quadratic decay and their applications

期刊: INTERNATIONAL JOURNAL OF MATHEMATICS, 2021; 32 (08)

We establish some comparison theorems on Finsler manifolds with curvature quadratic decay. As their applications, we obtain some optimal Cheeger-Gromo......

Stability of certain relations of three unitaries in C*-algebras

期刊: INTERNATIONAL JOURNAL OF MATHEMATICS, 2021; 32 (09)

We show that if theta is an irrational number in [0, 1), theta(1) and theta(2) are in [0, 1), A = [GRAPHICS] is a matrix of infinite order in SL2(Z), ......

Horizontal diameter of unit spheres with polar foliations and infinitesimally polar actions

期刊: INTERNATIONAL JOURNAL OF MATHEMATICS, 2021; 32 (4)

For a singular Riemannian foliation F on a Riemannian manifold, a curve is called horizontal if it meets the leaves of F perpendicularly. For a singul......

On Lie bialgebroid crossed modules

期刊: INTERNATIONAL JOURNAL OF MATHEMATICS, 2021; 32 (4)

We study Lie bialgebroid crossed modules which are pairs of Lie algebroid crossed modules in duality that canonically give rise to Lie bialgebroids. A......

Norm approximation by Taylor polynomials in Hardy and Bergman spaces

期刊: INTERNATIONAL JOURNAL OF MATHEMATICS, 2021; 32 (06)

For positive p and real alpha let A(alpha)(p) denote the weighted Bergman spaces of the unit ball B-n introduced in [R. Zhao and K. Zhu, Theory of Ber......

Interior estimates of harmonic heat flow

期刊: INTERNATIONAL JOURNAL OF MATHEMATICS, 2021; 32 (07)

Motivated by Giaquinta and Hildebrandt's regularity result for harmonic mappings [M. Giaquinta and S. Hildebrandt, A priori estimates for harmonic map......

Some weighted Hardy and Rellich inequalities on the Heisenberg group

期刊: INTERNATIONAL JOURNAL OF MATHEMATICS, 2021; 32 (3)

In this paper, we establish some weighted Hardy and Rellich inequalities and discuss its best constants on the Heisenberg group. Moreover, we also pre......

Mixed volume preserving flow by powers of homogeneous curvature functions of degree one

期刊: INTERNATIONAL JOURNAL OF MATHEMATICS, 2021; 32 (08)

This paper concerns the evolution of a closed hypersurface of dimension n(>= 2) in the Euclidean space Double-struck capital Rn+1 under a mixed vol......

Transgression maps for crossed modules of groupoids

期刊: INTERNATIONAL JOURNAL OF MATHEMATICS, 2021; 32 (09)

Given a crossed module of groupoids N -> G, we construct (1) a natural homomorphism from the product groupoid Zx (N (sic) G) paired right arrows N ......

Nichols algebras over classical Weyl groups(II)

期刊: INTERNATIONAL JOURNAL OF MATHEMATICS, 2021; 32 (06)

It is shown that except in three cases conjugacy classes of classical Weyl groups W(Bn) and W(D-n) are of type D. This proves that Nichols algebras of......

Two-component symplectic universal characters and integrable hierarchies

期刊: INTERNATIONAL JOURNAL OF MATHEMATICS, 2021; 32 (07)

In this paper, we first construct a symplectic Schur function solution to a newly defined two-component symplectic Kadomtsev-Petviashvili hierarchy. A......

Propagation sets of holomorphic curves

期刊: INTERNATIONAL JOURNAL OF MATHEMATICS, 2021; 32 (1)

We consider a problem of whether a property of holomorphic curves on a subset X of the complex plane can be extended to the whole complex plane. In th......

Time periodic traveling waves in a three-component non-autonomous and reaction-diffusion epidemic model

期刊: INTERNATIONAL JOURNAL OF MATHEMATICS, 2021; 32 (1)

In this paper, we propose a non-autonomous and diffusive SIR epidemic model based on the fact that the infection rate, the removal rate and the death ......

On the spectrality of self-affine measures with four digits on R-2

期刊: INTERNATIONAL JOURNAL OF MATHEMATICS, 2021; 32 (1)

In this paper, we study the spectral property of the self-affine measure mu(R,D) generated by an expanding real matrix R = diag (b, b) and the four-el......

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