Skip to Main content Skip to Navigation
Conference papers

Lagrangian submanifolds of the nearly Kähler S3 × S3 from minimal surfaces in S3

Abstract : We study non-totally geodesic Lagrangian submanifolds of the nearly Kähler S3 × S3 for which the projection on the first component is nowhere of maximal rank. We show that this property can be expressed in terms of the so-called angle functions and that such Lagrangian submanifolds are closely related to minimal surfaces in S3. Indeed, starting from an arbitrary minimal surface, we can construct locally a large family of such Lagrangian immersions, including one exceptional example. We also show that locally all such Lagrangian submanifolds can be obtained in this way.
Document type :
Conference papers
Complete list of metadata

https://hal-uphf.archives-ouvertes.fr/hal-03177553
Contributor : Julie Cagniard Connect in order to contact the contributor
Submitted on : Tuesday, March 23, 2021 - 11:33:26 AM
Last modification on : Wednesday, November 3, 2021 - 9:08:55 AM

Links full text

Identifiers

Collections

Citation

Marilena Moruz. Lagrangian submanifolds of the nearly Kähler S3 × S3 from minimal surfaces in S3. Conférence XIX Geometrical Seminar, Aug 2016, Zlatibor, Serbia. pp.655-689, ⟨10.1017/prm.2018.43⟩. ⟨hal-03177553⟩

Share

Metrics

Les métriques sont temporairement indisponibles