Seminar for Geometry, education and visualization with applications
PROGRAM
MATEMATIČKI INSTITUT SANU
Seminar geometriju, obrazovanje i vizualizaciju sa primenama
PLAN RADA ZA MAJ 2016.
ČETVRTAK, 5.5.2016. u 17:15, sala 301f, MI
Milos Djoric, Matematicki fakultet Beograd
Na predavanju ce biti predstavljena klasifikacija Hopfovih hiperpovrsi kompleksnog hiperbolickog prostora $\mathbb{CH}^m$ sa konstantnim glavnim krivinama; jedine takve povezane realne hiperpovrsi su otvoreni podskupovi horosfere, tube oko totalno geodezijske podmnogostrukosti $\mathbb{CH}^k\subset\mathbb{CH}^m$, $k=0,1,\ldots,m-1$ ili tube oko totalno geodezijske podmnogostrukosti $\mathbb{RH}^m\subset\mathbb{CH}^m$.
ČETVRTAK, 19.05.2016. u 17:15, sala 301f MI SANU
Moruz Marilena, Universite de Valenciennes
A Classification of Isotropic Affine Hyperspheres
In this work we study affine hypersurfaces M which have isotropic difference
tensor. Note that any surface always has isotropic difference tensor. In case that
the metric is positive definite, such hypersurfaces have been previously studied
In this work we study affine hypersurfaces M which have isotropic difference
tensor. Note that any surface always has isotropic difference tensor. In case that
the metric is positive definite, such hypersurfaces have been previously studied
in [1] and [2]. We first show that the dimension of an isotropic affine hypersurface
is either 5, 8, 14 or 26. Next we assume that M is an affine hypersphere
and we obtain for each of the possible dimensions a complete classification.
References
[1] O. Birembaux, M. Djoric, Isotropic Affine Spheres, Acta Mathematica Sinica,
English Series, Oct., 2012, Vol. 28, No. 10, pp. 1955-1972.
[2] O. Birembaux, L. Vrancken, Isotropic affine hypersurfaces of dimension 5, J.
Math. Anal. Appl. 417 (2014), no. 2, 918-962
Sednice seminara odrzavaju se u zgradi Matematickog instituta SANU, Knez-Mihailova 36, na trecem spratu u sali 301f.
Rukovodilac Seminara dr Stana Nikcevic