Speciality:
01.01.04 (Geometry and topology)
Birth date:
5.07.1948
Phone: +374 (10) 24 10 88
E-mail: Keywords: symmetric and semi-symmetric spaces,
Einstein and semi-Einstein spaces,
Ricci-semi-symmetric spaces and submanifolds,
submanifolds with parallel and semi-parallel tensor fields,
Einstein submanifolds,
semi-Einstein submanifolds.
UDC: 511.752, 514.75, 514.752, 514.752.44, 514.76, 514.772, 513, 514.763 MSC: 53A05, 53A07, 53B20, 53B25, 53C21, 53C25, 53C35, 53C42
Subject:
The general classification theorem for Riemannian Ricci-semi-symetric (Ricci-semi-parallel) spaces was proved; were introduced semi-Einsteinian spaces and was showed that an arbitrary cone over Einsteinian space is a semi-Einsteinian space; the local classification and geometric description of some classes of the Ricci-semi-parallel submanifolds (in particular the hypersurfaces) in Euclidean spaces was given. The fundamental problem on a connection between the submanifolds with the parallel tensor fields and the submanifolds with semiparallel tensor fields was solved in the spaces of constant curvature. The number of papers was devoted to the submanifolds with parallel higher order fundamental forms, semiparallel submanifolds and submanifolds with the parallel Ricci tensor.
Main publications:
Mirzoyan V. A. Ric-poluparallelnye podmnogoobraziya // Itogi nauki i tekhn. Problemy geometrii, 1991, 23, 29–66.
Mirzoyan V. A. Strukturnye teoremy dlya rimanovykh Ric-polusimmetricheskikh prostranstv // Izv. Vuzov. Matematika, 1992, 6, 80–89.
Mirzoyan V. A. Obobscheniya teoremy Yu. Lumiste o poluparallelnykh podmnogoobraziyakh // Izv. NAN Armenii. Matematika, 1998, 33(1), 53–64.
Mirzoyan V. A. Klassifikatsiya Ric-poluparallelnykh giperpoverkhnostei v evklidovykh prostranstvakh // Matem. sbornik, 2000, 191(9), 65–80.
