BJGA是国际双年刊。 BJGA 涵盖了广泛的微分几何研究论文及其使用微分几何方法和研究几何结构的所有数学跨学科领域。涵盖以下主要领域：局部和全局微分几何、流形拓扑、李群、ODE 和 PDE流形、全局分析、流形优化和数学物理。

The Balkan Journal of Geometry and its Applications (BJGA) is an international biannual journal that covers a wide range of research in differential geometry and its applications across various interdisciplinary fields of mathematics. The main areas include local and global differential geometry, manifold topology, Lie groups, ordinary differential equations (ODE) and partial differential equations (PDE) on manifolds, global analysis, manifold optimization, and mathematical physics.

《Balkan Journal of Geometry and its Applications》（BJGA）是一本国际双年刊，涵盖了广泛的微分几何研究及其在各个数学跨学科领域中的应用。主要领域包括局部和全局微分几何、流形拓扑、李群、常微分方程（ODE）和偏微分方程（PDE）流形、全局分析、流形优化以及数学物理等。

Balkan Journal of Geometry and its Applications

Let M n be a complete hypersurface with constant normalized scalar curvature R in a hyperbolic space form H n+1 . We prove that if ¯ R = R + 1 i 0 and the norm square jhj 2 of the second fundamental form of M n satisÞes n ¯ R i supjhj 2 i n

Liu Ximin

Su Weihong

Hypersurfaces with constant scalar curvature in a hyperbolic space form

双曲空间形式中具有常数量曲率的超曲面

In the paper k-chordal (or k-inscribed) polygons of first and second kind with given index are considered. Existence result is proved for equilateral chordal polygon which side lengths are already known. The convex and nonconvex cases are discussed depending on the orientation of the polygon. Secondly, the number of different radii of circumcircles of equilateral k-inscribed n-gon cannot be greater then s[n] = [ n− 1 2 ] + [ n− 3 2 ] + [ n− 5 2 ] + · · ·+ 2 + 1. A very natural conjecture is formulated on the existence of side lengths of kchordal n-gons when the minimal number of different circumcircle radii is [n] := [ n− 1 2 ] + ( n 1 )[ n− 3 2 ] + ( n 2 )[ n− 5 2 ] +· · ·+ ( n μ )[ n− 2μ + 1 2 ] , where n−2μ = 3(4) for n odd (even). Thirdly, the so-called main equation (kind of related characteristic algebraic equation for a polygon) is introduced for the class Cn(a1, · · · , an) of k-chordal related polygons. In few illustrative examples we obtain the number and the numerical values of different radii of quadrangle, pentagon, octagon and enneagon, solving the related main equations, when only the side lengths of initial polygons are known. In the final section certain interesting properties of the so-called main equations are discussed, proving that the positive roots of the main equations are the radii of the circumcircles of the chordal n-gons whose sides have the lengths a1, · · · , an. The equilateral pentagon is presented in detail with three different positive solutions of its main equation which is an eigth degree algebraic equation. In the same section the main equation of λn-gons is characterized, when the initial n-gon is λ times continued on the same circumcircle, λ positive integer. Mathematics Subject Classification: 51E12, 12D10; 51M04, 26C10.

Mirko Radić

Tibor K. Poganj

Vladimir Kadum

On equations and properties concerning some classes of chordal polygons.

关于几类弦多边形的方程与性质。

Here we use elementary combinatorial arguments to give explicit formulae and relations for some cohomology classes of moduli spaces of stable curves of low genus.

Gilberto Bini

Combinatorics of Mumford-Morita-Miller classes in low genus

低亏格下Mumford-Morita-Miller类的组合学

We construct constant mean curvature (CMC) bubbleton surfaces in the three-dimensional space forms R 3 , S 3 and H 3 using the DPW method. We show that bubbletons in S 3 and H 3 have properties analogous to the properties of bubbletons inR 3 . In particular, we give explicit parametrizations in all three space forms, and we show that the parallel CMC surface is congruent to the original bubbleton in all three space forms. Furthermore, we prove that the construction here via the DPW method gives the same surfaces as Bianchi’s

Shimpei Kobayashi

Bubbletons in 3-dimensional space forms

三维空间形式中的气泡子

The submanifold Dirac operator has been studied for this decade, which is closely related to Frenet-Serret and generalized Weierstrass relations. In this article, we will give a submanifold Dirac operator defined over a surface immersed in 4 with U(1)-gauge field as torsion in the sense of the Frenet-Serret relation, which also has data of immersion of the surface in 4 .

ISSN	1224-2780, 1843-2875
h-index	20

Publication Information	Publisher: Balkan Society of Geometers，Publishing cycle: ，Journal Type: journal，Open Access Journals: Yes
Basic data	Year of publication: 2002，Proportion of original research papers: 0.00%，Self Citation Rate:N.A.， Gold OA Rate: 0.00%
Average review cycle	8 weeks

Balkan Journal of Geometry and its Applications

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Hypersurfaces with constant scalar curvature in a hyperbolic space form

On equations and properties concerning some classes of chordal polygons.

Combinatorics of Mumford-Morita-Miller classes in low genus

Bubbletons in 3-dimensional space forms

Submanifold Dirac operators with torsion

On a class of pseudo calibrated generalized complex structures: from Norden to para Norden through statistical manifolds

On a class of pseudo calibrated generalized complex structures: from Norden to para Norden through statistical manifolds

On a class of pseudo calibrated generalized complex structures: from Norden to para Norden through statistical manifolds

On a class of pseudo calibrated generalized complex structures: from Norden to para Norden through statistical manifolds

On a class of pseudo calibrated generalized complex structures: from Norden to para Norden through statistical manifolds