Ricci-Yamabe maps for Riemannian flows and their volume variation and volume entropy

Sinem GÜLER; Mircea CRASMAREANU

Makale detayları

Ricci-Yamabe maps for Riemannian flows and their volume variation and volume entropy

Yazarlar:

Sinem GÜLER | Mircea CRASMAREANU

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2019 Vol.43 Issue 5, pp.2631-2641

Belge Tipi:

Makale

Yayın Tarihi:

9/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000745558

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

The aim of this short note is to produce new examples of geometrical flows associated to a given Riemannian flow g(t)g(t)g(t). The considered flow in covariant symmetric 222-tensor fields will  be called Ricci-Yamabe map since it involves a scalar combination of Ricci tensor and scalar curvature of g(t)g(t)g(t). Due to the signs of considered scalars the Ricci-Yamabe flow can be also  a Riemannian or semi-Riemannian or singular Riemannian flow. We study the associated function of volume variation as well as the volume entropy. Finally, since the two-dimensional case  was the most commonly addressed situation we express the Ricci flow equation in all four orthogonal separable coordinate systems of the plane.

Makale detayları

Ricci-Yamabe maps for Riemannian flows and their volume variation and volume entropy

Yazarlar: Sinem GÜLER | Mircea CRASMAREANU

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2019 Vol.43 Issue 5, pp.2631-2641

Belge Tipi: Makale

Yayın Tarihi: 9/2019

Belge Dili: İngilizce

Document ID (Org No.): 2000745558

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Sinem GÜLER | Mircea CRASMAREANU

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2019 Vol.43 Issue 5, pp.2631-2641

Belge Tipi:

Makale

Yayın Tarihi:

9/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000745558

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098