Quasi–minimal surfaces of pseudo–Riemannian space forms with positive relative nullity

Quasi–minimal surfaces of pseudo–Riemannian space forms with positive relative nullity

In this paper, we consider surfaces in 4–dimensional pseudo–Riemannian space–forms with index 2. First, we obtain some of geometrical properties of such surfaces considering their relative null space. Then, we get classifications of quasi–minimal surfaces with positive relative nullity.

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Veröffentlicht in:Journal of mathematical analysis and applications 2020-08, Vol.488 (2), p.124081, Article 124081
Hauptverfasser: Bektaş Demirci, Burcu, Turgay, Nurettin Cenk
Format: Artikel
Sprache:eng
Schlagworte:
Positive relative nullity
Pseudo–Riemannian space forms
Quasi–minimal surface
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Zusammenfassung:In this paper, we consider surfaces in 4–dimensional pseudo–Riemannian space–forms with index 2. First, we obtain some of geometrical properties of such surfaces considering their relative null space. Then, we get classifications of quasi–minimal surfaces with positive relative nullity.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2020.124081