University "Al.I.Cuza" of Iasi Faculty of Mathematics Marian Ioan MUNTEANU


Marian Ioan MUNTEANU
Associate Professor Ph. D, Dr. Habil.

My home page in Iasi


Doctoral information *

Research topic // Tema de cercetare

Special type of submanifolds in (semi)-Riemannian manifolds
Short description: We have in mind two distinct research directions:
I. Magnetic curves, as critical points of the Landau Hall functional, are intensively studied in the last years. Our target is to extend the notion of magnetic curve to maps between Riemannian manifolds, when a magnetic field is defined on the target manifold. In such a way, we define the notion of magnetic map and our objective is to study geometric properties for these magnetic maps. II. The main objects of this line of research are the CR-submanifolds (in the sense of Bejancu) satisfying certain natural geometric conditions. Clase speciale de subvarietati in varietati (semi-) Riemanniene Descriere: Se vor avea in vedere doua directii de cercetare: I. Curbele magnetice, ca puncte critice ale functionalei Landau Hall, sunt intens studiate in ultima perioada. Se urmareste extinderea notiunii de curba magnetica la aplicatii intre varietati Riemanniene, cand pe codomeniu este prezent un camp magnetic. Apare astfel notiunea de aplicatie magnetica pentru care se vor studia diverse propritati geometrice remarcabile. II. Cercetarea va avea ca tema principala studiul subvarietatilor CR care satisfac anumite conditii geometrice naturale.

 

 

(*) On May 20, 2015, I defended my habilitation thesis entitled:
Recent developments on magnetic curves in (pseudo)-Riemannian manifolds

Atestat de abillitare: OM 4718/11.08.2015
Afiliere la scoala doctorala de matematica: Hotarare Senat n.5 / 24.09.2015