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

Burcu Bektaş Demirci; Nurettin Cenk Turgay

doi:10.1016/j.jmaa.2020.124081

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

Burcu Bektaş Demirci^*, Nurettin Cenk Turgay

^*Corresponding author for this work

Department of Mathematics Engineering

Fatih Sultan Mehmet Vakif Universitesi

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Article number	124081
Journal	Journal of Mathematical Analysis and Applications
Volume	488
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2020.124081
Publication status	Published - 15 Aug 2020

Bibliographical note

Publisher Copyright:
© 2020 Elsevier Inc.

Keywords

Positive relative nullity
Pseudo–Riemannian space forms
Quasi–minimal surface

Access to Document

10.1016/j.jmaa.2020.124081

Cite this

@article{b3ae606f6ce3454b9499883588897fcb,

title = "Quasi–minimal surfaces of pseudo–Riemannian space forms with positive relative nullity",

abstract = "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.",

keywords = "Positive relative nullity, Pseudo–Riemannian space forms, Quasi–minimal surface",

author = "{Bekta{\c s} Demirci}, Burcu and Turgay, {Nurettin Cenk}",

note = "Publisher Copyright: {\textcopyright} 2020 Elsevier Inc.",

year = "2020",

month = aug,

day = "15",

doi = "10.1016/j.jmaa.2020.124081",

language = "English",

volume = "488",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Inc.",

number = "2",

}

TY - JOUR

T1 - Quasi–minimal surfaces of pseudo–Riemannian space forms with positive relative nullity

AU - Bektaş Demirci, Burcu

AU - Turgay, Nurettin Cenk

PY - 2020/8/15

Y1 - 2020/8/15

N2 - 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.

AB - 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.

KW - Positive relative nullity

KW - Pseudo–Riemannian space forms

KW - Quasi–minimal surface

UR - http://www.scopus.com/inward/record.url?scp=85082514764&partnerID=8YFLogxK

U2 - 10.1016/j.jmaa.2020.124081

DO - 10.1016/j.jmaa.2020.124081

M3 - Article

AN - SCOPUS:85082514764

SN - 0022-247X

VL - 488

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

M1 - 124081

ER -

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

Abstract

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Cite this