Lagrangian submanifolds with constant angle functions of the nearly Kähler S3×S3

We study Lagrangian submanifolds of the nearly Kähler S3×S3 with respect to their so called angle functions. We show that if all angle functions are constant, then the submanifold is either totally geodesic or has constant sectional curvature and there is a classification theorem that follows from D...

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Veröffentlicht in:	Journal of geometry and physics 2018-04, Vol.127, p.1-13
Hauptverfasser:	Bektaş, Burcu, Moruz, Marilena, Van der Veken, Joeri, Vrancken, Luc
Format:	Artikel
Sprache:	eng
Schlagworte:	Immersions Lagrangian submanifolds Local submanifolds Mathematics Nearly Kähler manifolds
Online-Zugang:	Volltext
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