Metric structures on fibered manifolds through partitions of unity

Hulya KADİOGLU; Robert Fisher JR

Makale detayları

Metric structures on fibered manifolds through partitions of unity

Yazarlar:

Hulya KADİOGLU | Robert Fisher JR

Yayıncı:

Biska Bilişim

Dergi:

New Trends in Mathematical Sciences 2016 Vol.4 Issue 2, pp.266-272

Belge Tipi:

Makale

Yayın Tarihi:

2/2016

Belge Dili:

İngilizce

Document ID (Org No.):

2000830048

Sıklık:

Üç Aylık

eISSN:

2147-5520

pISSN:

2147-5520

Özet:

 



The notion of partitions of unity is extremely useful as it allows one to extend local constructions on Euclidean patches to global ones. It is widely used in many fields in mathematics. Therefore, prolongation of this useful tool to another manifold may help constructing many geometric structures. In this paper, we construct a partition of unity on a fiber bundle by using a given partition of unity on the base manifold. On the other hand we show that the converse is also possible if it is a vector bundle. As an application, we define a Riemannian metric on the fiber bundle by using induced partition of unity on the fiber bundle.


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Makale detayları

Metric structures on fibered manifolds through partitions of unity

Yazarlar: Hulya KADİOGLU | Robert Fisher JR

Yayıncı: Biska Bilişim

Dergi: New Trends in Mathematical Sciences 2016 Vol.4 Issue 2, pp.266-272

Belge Tipi: Makale

Yayın Tarihi: 2/2016

Belge Dili: İngilizce

Document ID (Org No.): 2000830048

Sıklık: Üç Aylık

eISSN: 2147-5520

pISSN: 2147-5520

Sayı

Yazarlar:

Hulya KADİOGLU | Robert Fisher JR

Yayıncı:

Biska Bilişim

Dergi:

New Trends in Mathematical Sciences 2016 Vol.4 Issue 2, pp.266-272

Belge Tipi:

Makale

Yayın Tarihi:

2/2016

Belge Dili:

İngilizce

Document ID (Org No.):

2000830048

Sıklık:

Üç Aylık

eISSN:

2147-5520

pISSN:

2147-5520