Conformal semi-invariant Riemannian maps to Sasakian manifolds

Murat Polat

Makale detayları

Conformal semi-invariant Riemannian maps to Sasakian manifolds

Yazarlar:

Murat Polat

Yayıncı:

Ankara University

Ana Başlıklar:

Algebraic and Differential Geometry

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Vol.74 Issue 1, pp.56-67

Belge Tipi:

Makale

Yayın Tarihi:

8/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001341520

pISSN:

1303-5991

Anahtar kelimeler:

Özet:

 The idea of conformal semi-invariant Riemannian maps to almost Hermitian manifolds was first put forward by Şahin and Akyol in 3. In this paper, we expand this idea to Sasakian manifolds which are almost contact metric manifolds. Hereby, we present conformal semi-invariant Riemannian maps from Riemannian manifolds to Sasakian manifolds. Then, we prepare a illustrative example and investigate the geometry of the leaves of D_1, D_2, overlineD_1 and overlineD_2. We find necessary and sufficient conditions for conformal semi-invariant Riemannian maps to be totally geodesic. Also, we investigate the harmonicity of such maps.

 The idea of conformal semi-invariant Riemannian maps to almost Hermitian manifolds was first put forward by Şahin and Akyol in 3. In this paper, we expand this idea to Sasakian manifolds which are almost contact metric manifolds. Hereby, we present conformal semi-invariant Riemannian maps from Riemannian manifolds to Sasakian manifolds. Then, we prepare a illustrative example and investigate the geometry of the leaves of D_1, D_2, overlineD_1 and overlineD_2. We find necessary and sufficient conditions for conformal semi-invariant Riemannian maps to be totally geodesic. Also, we investigate the harmonicity of such maps.

 The idea of conformal semi-invariant Riemannian maps to almost Hermitian manifolds was first put forward by Şahin and Akyol in 3. In this paper, we expand this idea to Sasakian manifolds which are almost contact metric manifolds. Hereby, we present conformal semi-invariant Riemannian maps from Riemannian manifolds to Sasakian manifolds. Then, we prepare a illustrative example and investigate the geometry of the leaves of D_1, D_2, overlineD_1 and overlineD_2. We find necessary and sufficient conditions for conformal semi-invariant Riemannian maps to be totally geodesic. Also, we investigate the harmonicity of such maps.

 The idea of conformal semi-invariant Riemannian maps to almost Hermitian manifolds was first put forward by Şahin and Akyol in 3. In this paper, we expand this idea to Sasakian manifolds which are almost contact metric manifolds. Hereby, we present conformal semi-invariant Riemannian maps from Riemannian manifolds to Sasakian manifolds. Then, we prepare a illustrative example and investigate the geometry of the leaves of D_1, D_2, overlineD_1 and overlineD_2. We find necessary and sufficient conditions for conformal semi-invariant Riemannian maps to be totally geodesic. Also, we investigate the harmonicity of such maps.

Makale detayları

Conformal semi-invariant Riemannian maps to Sasakian manifolds

Yazarlar:

Murat Polat

Yayıncı:

Ankara University

Ana Başlıklar:

Algebraic and Differential Geometry

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Vol.74 Issue 1, pp.56-67

Belge Tipi:

Makale

Yayın Tarihi:

8/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001341520

pISSN:

1303-5991

Semi-invariant Riemannian map

conformal semi-invariant Riemannian map

Sasakian manifolds

Sayı

Makale detayları

Conformal semi-invariant Riemannian maps to Sasakian manifolds

Yazarlar: Murat Polat

Yayıncı: Ankara University

Ana Başlıklar: Algebraic and Differential Geometry

Dergi: Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Vol.74 Issue 1, pp.56-67

Belge Tipi: Makale

Yayın Tarihi: 8/2025

Belge Dili: İngilizce

Document ID (Org No.): 2001341520

pISSN: 1303-5991

Semi-invariant Riemannian map

conformal semi-invariant Riemannian map

Sasakian manifolds

Sayı

Yazarlar:

Murat Polat

Yayıncı:

Ankara University

Ana Başlıklar:

Algebraic and Differential Geometry

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Vol.74 Issue 1, pp.56-67

Belge Tipi:

Makale

Yayın Tarihi:

8/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001341520

pISSN:

1303-5991