H -Umbilical Lagrangian Submanifolds of the Nearly Kähler \( {\mathbb{S}^3\times\mathbb{S}^3} \)

Miroslava Antić, Marilena Moruz and Joeri Van der Veken
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Miroslava Antić: Faculty of Mathematics, University of Belgrade, Studentski trg 16, pb. 550, 11000 Belgrade, Serbia
Marilena Moruz: Department of Mathematics, KU Leuven, Celestijnenlaan 200B-Box 2400, 3001 Leuven, Belgium
Joeri Van der Veken: Department of Mathematics, KU Leuven, Celestijnenlaan 200B-Box 2400, 3001 Leuven, Belgium

Mathematics, 2020, vol. 8, issue 9, 1-8

Abstract: 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 S 3 × S 3 , also H -umbilical Lagrangian submanifolds are automatically totally geodesic.

Keywords: nearly Kähler S 3 × S 3; Lagrangian submanifolds; H -umbilical (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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