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Almost complex surfaces in the nearly Kähler SL(2, R) × SL(2, R)

Ghandour, Elsa LU and Vrancken, Luc (2020) In Mathematics 8(7).
Abstract

The space SL(2, R) × SL(2, R) admits a natural homogeneous pseudo-Riemannian nearly Kahler 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.

Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Almost complex surface, Nearly Kähler, Submanifold theory
in
Mathematics
volume
8
issue
7
article number
1160
publisher
MDPI AG
external identifiers
  • scopus:85088562382
ISSN
2227-7390
DOI
10.3390/math8071160
language
English
LU publication?
yes
id
78733de9-cf09-4b84-910e-f3d475eb7503
date added to LUP
2020-08-04 14:19:56
date last changed
2022-04-19 00:02:36
@article{78733de9-cf09-4b84-910e-f3d475eb7503,
  abstract     = {{<p>The space SL(2, R) × SL(2, R) admits a natural homogeneous pseudo-Riemannian nearly Kahler 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.</p>}},
  author       = {{Ghandour, Elsa and Vrancken, Luc}},
  issn         = {{2227-7390}},
  keywords     = {{Almost complex surface; Nearly Kähler; Submanifold theory}},
  language     = {{eng}},
  number       = {{7}},
  publisher    = {{MDPI AG}},
  series       = {{Mathematics}},
  title        = {{Almost complex surfaces in the nearly Kähler SL(2, R) × SL(2, R)}},
  url          = {{http://dx.doi.org/10.3390/math8071160}},
  doi          = {{10.3390/math8071160}},
  volume       = {{8}},
  year         = {{2020}},
}