Minimal homothetical and translation lightlike graphs in Rn+2q
AIMS Mathematics, cilt.7, sa.9, ss.17198-17209, 2022 (SCI-Expanded, SSCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 7 Sayı: 9
- Basım Tarihi: 2022
- Doi Numarası: 10.3934/math.2022946
- Dergi Adı: AIMS Mathematics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Social Sciences Citation Index (SSCI), Scopus, Directory of Open Access Journals
- Sayfa Sayıları: ss.17198-17209
- Anahtar Kelimeler: homothetical graphs, lightlike hypersurfaces, minimality, semi-Euclidean space, translation graphs
- Ankara Hacı Bayram Veli Üniversitesi Adresli: Hayır
Özet
In this paper, homothetical and translation lightlike graphs, which are generalizations of homothetical and translation lightlike hypersurfaces are investigated in the semi-Euclidean space Rn+2 q, respectively. We prove that all homothetical and all translation lightlike graphs are locally the hyperplanes. According to this fact, both of these graphs are minimal.