Minimal Lagrangian submanifolds with constant sectional curvature in indefinite complex space forms
| dc.contributor.author | Vrancken, Luc | |
| dc.date.accessioned | 2021-12-17T10:16:44Z | |
| dc.date.available | 2021-12-17T10:16:44Z | |
| dc.date.issued | 1999-01-29 | |
| dc.description.abstract | We study minimal Lagrangian immersions from an indefinite real space form $M^n_s(c)$ into an indefinite complex space form $\tilde{M}^n_s(4\tilde{c})$. Provided that $c\not= \tilde{c}$, we show that $M^n$ has to be flat and we obtain an explicit description of the immersion. In the case the metric is positive definite or Lorentzian, this result was respectively obtained by Ejiri [4] and by Kriele and the author [5]. In the case that $c = \tilde{c}$, this theorem is no longer true, see for instance the examples discovered in [3] by Chen and the author. | en |
| dc.identifier.issn | 2197-8085 | |
| dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/15937 | |
| dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-14710 | |
| dc.language.iso | en | en |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | en |
| dc.subject.ddc | 510 Mathematik | en |
| dc.subject.other | Lagrangian | en |
| dc.subject.other | constant sectional curvature | en |
| dc.subject.other | complex space forms | en |
| dc.title | Minimal Lagrangian submanifolds with constant sectional curvature in indefinite complex space forms | en |
| dc.type | Research Paper | en |
| dc.type.version | submittedVersion | en |
| tub.accessrights.dnb | free | en |
| tub.affiliation | Fak. 2 Mathematik und Naturwissenschaften::Inst. Mathematik | de |
| tub.affiliation.faculty | Fak. 2 Mathematik und Naturwissenschaften | de |
| tub.affiliation.institute | Inst. Mathematik | de |
| tub.publisher.universityorinstitution | Technische Universität Berlin | en |
| tub.series.issuenumber | 1999, 644 | en |
| tub.series.name | Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin | en |
| tub.subject.msc2000 | 53B35 Hermitian and Kählerian structures | en |
| tub.subject.msc2000 | 53B30 Lorentz metrics, indefinite metrics | en |
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