The Eighth Congress of Romanian Mathematicians

Posters

I. Algebra and Number Theory

II. Algebraic, Complex and Differential Geometry and Topology

III. Real and Complex Analysis, Potential Theory

IV. Ordinary and Partial Differential Equations, Variational Methods, Optimal Control

V. Functional Analysis, Operator Theory and Operator Algebras, Mathematical Physics

VI. Probability, Stochastic Analysis, and Mathematical Statistics

VII. Mechanics, Numerical Analysis, Mathematical Models in Sciences

VIII. Theoretical Computer Science, Operations Research and Mathematical Programming

IX. History and Philosophy of Mathematics

Algebraic, Complex and Differential Geometry and Topology

(this list is in updating process)

1.
CUZUB Stefan Andrei
"Alexandru Ioan Cuza" University, Iasi, Romania
Title: Models of Belyi Covers (details)
Abstract:
The aim of this talk is to describe some results regarding semi-stable models of Belyi morphisms over rings of integers of number fields.
2.
MASCA Ioana Monica
Colegiul "Nicolae Titulescu", Brasov, Romania
Title: On the geometry of Finsler manifolds with reversible geodesics (details)
Abstract:
\begin{abstract} A Finsler space is said to have reversible geodesics if for any of its oriented geodesic path, the same path traversed in the opposite sense is also a geodesic.\\ \newline We present the conditions for a Finsler space endowed with an $(\alpha, \beta)$ metric to be with reversible geodesics, and the classes of $(\alpha, \beta)$ metrics with reversible geodesics.\\ \newline In \cite{Oh} the structure of a Finsler manifold of nonnegative weighted Ricci curvature including a straight line is investigated, and the classical Cheeger-Gromoll-Lichnerowicz splitting theorem is extended. We are going to extend these results for Finsler manifolds with reversible geodesics including a line. \begin{thebibliography}{9} \bibitem[Oh]{Oh} Shin-ichi Ohta, {\it Splitting theorems for Finsler manifolds}, arXiv:1203.0079v1. \end{thebibliography} \end{abstract}
3.
MUNTEANU Marius
State University of New York at Oneonta, U.S.A.
Title: Nonhomogeneous Metric Foliations (details)
Abstract:
We introduce a new way of constructing (nonhomogeneous) metric foliations on Lie groups endowed with a left invariant metric, and present several examples of such foliations.
4.
POPA Alexandru
Institute of Mathematics and Computer Science of The Acadmy of Sciences of Moldova, Moldova
Title: Space duality as instrument for construction of new geometries (details)
Abstract:
At different levels of geometry arise different kinds of duality. Duality plays an important role in projective geometry. It is also easy to observe duality of regular polyhedra of each dimension. Duality is a powerful tool for construction of new figures. Duality plays fundamental role also in study of homogeneous spaces. In this case with the power of duality one can produce not new figures in a space, but whole new spaces with completely new geometry. In the presentation the anti-hyperbolic geometry will be constructed by applying duality to hyperbolic plane.
5.
POPOVICI Elena
Transilvania University of Brasov, Romania
Title: On the volume of complex indicatrix (details)
Abstract:
Following the study of volume of unit tangent spheres, i.e. indicatrices, in a real Finsler manifold, we investigate some properties of the volume of the complex indicatrix in a complex Finsler space. Since the complex indicatrix is an embedded CR - hypersurface of the holomorphic tangent bundle in a fixed point, by means of its normal vector, the volume element of the indicatrix is determined. Thus, the volume function is pointed out and its variation is studied. Also, conditions under which the volume is constant are determined and some classes of complex Finsler spaces with constant indicatrix volume are given. Moreover, the length of the complex indicatrix of Riemann surfaces is found to be constant. In addition, considering submersions from the complex indicatrix onto almost Hermitian surfaces, we obtain that the volume of the submersed manifold has also constant value.