Please use this identifier to cite or link to this item: http://dx.doi.org/10.14279/depositonce-14710
 Main Title: Minimal Lagrangian submanifolds with constant sectional curvature in indefinite complex space forms Author(s): Vrancken, Luc Type: Research Paper URI: https://depositonce.tu-berlin.de/handle/11303/15937http://dx.doi.org/10.14279/depositonce-14710 License: http://rightsstatements.org/vocab/InC/1.0/ 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. Subject(s): Lagrangianconstant sectional curvaturecomplex space forms Issue Date: 29-Jan-1999 Date Available: 17-Dec-2021 Language Code: en DDC Class: 510 Mathematik MSC 2000: 53B35 Hermitian and Kählerian structures53B30 Lorentz metrics, indefinite metrics Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin Series Number: 1999, 644 ISSN: 2197-8085 TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik Appears in Collections: Technische Universität Berlin » Publications