H-Umbilical Lagrangian Submanifolds of the Nearly Kähler S3 × S3

Autor: Miroslava Antić, Marilena Moruz, Joeri Van der Veken
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Mathematics, Vol 8, Iss 1427, p 1427 (2020)
ISSN: 2227-7390
Popis: H-umbilicity was introduced as an analogue of total umbilicity for Lagrangian submanifolds since, in some relevant cases, totally umbilical Lagrangian submanifolds are automatically totally geodesic. In this paper, we show that, in the homogeneous nearly Kähler S3×S3, also H-umbilical Lagrangian submanifolds are automatically totally geodesic.
Databáze: OpenAIRE