Almost complex surfaces in the nearly Kähler SL(2, R) × SL(2, R)
(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:
https://lup.lub.lu.se/record/78733de9-cf09-4b84-910e-f3d475eb7503
- author
- Ghandour, Elsa LU and Vrancken, Luc
- organization
- publishing date
- 2020
- 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}}, }