On total mean curvatures of foliated half-lightlike submanifolds in semi-Riemannian manifolds

Fortuné MASSAMBA; Samuel SSEKAJJA

doi:https://doi.org/10.15672/hujms.621536

Makale detayları

On total mean curvatures of foliated half-lightlike submanifolds in semi-Riemannian manifolds

Yazarlar:

Fortuné MASSAMBA | Samuel SSEKAJJA

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2020 Vol.49 Issue 2, pp.727-739

Belge Tipi:

Makale

Yayın Tarihi:

4/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000451174

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.621536

Özet:

 

We derive total mean curvature integration formulas of a three co-dimensional foliation FnFn\mathcal{F}^{n} on a screen integrable half-lightlike submanifold, Mn+1Mn+1M^{n+1} in a semi-Riemannian manifold ¯¯¯¯¯¯Mn+3M¯n+3\overline{M}^{n+3}. We give generalized differential equations relating to mean curvatures of a totally umbilical half-lightlike submanifold admitting a totally umbilical screen distribution, and show that they are generalizations of those given by [K. L. Duggal and B. Sahin, Differential geometry of lightlike submanifolds, Frontiers in Mathematics, Birkhäuser Verlag, Basel, 2010].

Makale detayları

On total mean curvatures of foliated half-lightlike submanifolds in semi-Riemannian manifolds

Yazarlar: Fortuné MASSAMBA | Samuel SSEKAJJA

Yayıncı: Hacettepe University

Ana Başlıklar: Matematik

Dergi: Hacettepe Journal of Mathematics and Statistics 2020 Vol.49 Issue 2, pp.727-739

Belge Tipi: Makale

Yayın Tarihi: 4/2020

Belge Dili: İngilizce

Document ID (Org No.): 2000451174

Sıklık: İki Aylık

eISSN: 2651-477X

pISSN: 2651-477X

DOI: https://doi.org/10.15672/hujms.621536

Sayı

Yazarlar:

Fortuné MASSAMBA | Samuel SSEKAJJA

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2020 Vol.49 Issue 2, pp.727-739

Belge Tipi:

Makale

Yayın Tarihi:

4/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000451174

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.621536