# zbMATH — the first resource for mathematics

##### Examples
 Geometry Search for the term Geometry in any field. Queries are case-independent. Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact. "Topological group" Phrases (multi-words) should be set in "straight quotation marks". au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted. Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff. "Quasi* map*" py: 1989 The resulting documents have publication year 1989. so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14. "Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic. dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles. py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses). la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

##### Operators
 a & b logic and a | b logic or !ab logic not abc* right wildcard "ab c" phrase (ab c) parentheses
##### Fields
 any anywhere an internal document identifier au author, editor ai internal author identifier ti title la language so source ab review, abstract py publication year rv reviewer cc MSC code ut uncontrolled term dt document type (j: journal article; b: book; a: book article)
Minimal Lagrangian submanifolds with constant sectional curvature in indefinite complex space forms. (English) Zbl 0999.53052
The author studies minimal Lagrangian immersions from an indefinite real space form ${M}_{s}^{n}\left(c\right)$ into an indefinite complex space form ${\overline{M}}_{s}^{n}\left(4\overline{c}\right)$, $\overline{c}\ne c$, and obtains a complete classification. Amongst others it is proved that ${M}_{s}^{n}\left(c\right)$ has to be flat. Therefore the author presents two classes of indefinite flat Lagrangian immersions. In the case when the metric is positive definite or Lorentzian, analogues results were respectively obtained by N. Ejiri [Proc. Am . Math. Soc. 84, 243-246 (1982; Zbl 0485.53022)] and by M. Kriele and L. Vrancken [Arch. Math. 72, 223-232 (1999; Zbl 0969.53045)].
##### MSC:
 53D12 Lagrangian submanifolds; Maslov index 53B25 Local submanifolds 53B30 Lorentz metrics, indefinite metrics 53C50 Lorentz manifolds, manifolds with indefinite metrics