Generalized Cauchy-Riemann lightlike submanifolds of Kaehler manifolds

Duggal K. L., Sahin B.

ACTA MATHEMATICA HUNGARICA, cilt.112, ss.107-130, 2006 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 112
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1007/s10474-006-0068-y
  • Dergi Adı: ACTA MATHEMATICA HUNGARICA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.107-130
  • İnönü Üniversitesi Adresli: Hayır

Özet

We introduce a class of submanifolds, namely, Generalized Cauchy-Riemann (GCR) lightlike submanifolds of indefinite Kaehler manifolds. We show that this new class is an umbrella of invariant (complex), screen real [8] and CR lightlike [6] submanifolds. We study the existence (or non-existence) of this new class in an indefinite space form. Then, we prove characterization theorems on the existence of totally umbilical, irrotational screen real, complex and CR minimal lightlike submanifolds. We also give one example each of a non totally geodesic proper minimal GCR and CR lightlike submanifolds.