Sufficient conditions for the compactifiability of a closed one-form foliation

İrina GELBUKH

Makale detayları

Sufficient conditions for the compactifiability of a closed one-form foliation

Yazarlar:

İrina GELBUKH

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2017 Vol.41 Issue 5, pp.1344-1353

Belge Tipi:

Makale

Yayın Tarihi:

9/2017

Belge Dili:

Türkçe

Document ID (Org No.):

2000746008

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

We study the foliation defined by a closed 111-form on a connected smooth closed orientable manifold.We call such a foliation compactifiable if all its leaves are closed in the complement of the singular set.In this paper, we give sufficient conditions for compactifiability of the foliation in homological terms.We also show that under these conditions, the foliation can be defined by closed 111-forms with the ranks of their groups of periods in a certain range.In addition, we describe the structure of the group generated by the homology classes of all compact leaves of the foliation.

Makale detayları

Sufficient conditions for the compactifiability of a closed one-form foliation

Yazarlar: İrina GELBUKH

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2017 Vol.41 Issue 5, pp.1344-1353

Belge Tipi: Makale

Yayın Tarihi: 9/2017

Belge Dili: Türkçe

Document ID (Org No.): 2000746008

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

İrina GELBUKH

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2017 Vol.41 Issue 5, pp.1344-1353

Belge Tipi:

Makale

Yayın Tarihi:

9/2017

Belge Dili:

Türkçe

Document ID (Org No.):

2000746008

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098