QR-submanifolds of a locally conformal quaternion Kaehler manifold
Küçük Resim Yok
Tarih
2003
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Kossuth Lajos Tudomanyegyetem
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we study QR-submanifolds of a locally conformal quaternion Kaehler manifold. We give the basic formulas for QR-submanifolds of a locally conformal quaternion Kaehler manifold and two examples of QR-submanifolds of a locally conformal quaternion Kaehler manifold. Necessary and sufficient conditions are given for a quaternion distribution on a QR-submanifold to be integrable. Also, a necessary and sufficient condition is given for a distribution D-perpendicular to on a QR-submanifold to be a totally geodesic foliation. Further, a theorem is obtained for a QR-submanifold to be mixed geodesic. Finally, totally umbilical QR-submanifolds are studied and some theorems are given.
Açıklama
Anahtar Kelimeler
locally conformal quaternion Kaehler manifold, QR-submanifold, totally umbilical submanifold, sectional curvature
Kaynak
Publicationes Mathematicae-Debrecen
WoS Q Değeri
Q4
Scopus Q Değeri
Q2
Cilt
63
Sayı
1-2
