Almost Complex Surfaces in the Nearly Kähler SL ( 2,?) × SL ( 2,?)

Elsa Ghandour and Luc Vrancken
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Elsa Ghandour: Faculty of Science, University of Lund, Box 118, 2210 Lund, Sweden
Luc Vrancken: LMI-Laboratoire de Mathématiques pour l’Ingénieur, Université Polytechnique Hauts-de-France, Campus du Mont Houy, 59313 Valenciennes, France

Mathematics, 2020, vol. 8, issue 7, 1-18

Abstract: The space S L ( 2 , R ) × S L ( 2 , R ) admits a natural homogeneous pseudo-Riemannian nearly Kähler structure. We investigate almost complex surfaces in this space. In particular, we obtain a complete classification of the totally geodesic almost complex surfaces and of the almost complex surfaces with parallel second fundamental form.

Keywords: submanifold theory; nearly Kähler; almost complex surface (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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