Fischer-Marsden conjecture on K-paracontact manifolds and quasi-para-Sasakian manifolds

Mustafa Özkan; İrem Küpeli Erken

Makale detayları

Fischer-Marsden conjecture on K-paracontact manifolds and quasi-para-Sasakian manifolds

Yazarlar:

Mustafa Özkan | İrem Küpeli Erken

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.68-78

Belge Tipi:

Makale

Yayın Tarihi:

8/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001341519

pISSN:

1303-5991

Anahtar kelimeler:

Özet:

 The aim of this paper is to study of the non-trivial solutions of Fischer-Marsden conjecture on K-paracontact manifolds and 3-dimensional quasi-para-Sasakian manifolds. We prove that if a semi-Riemannian manifold of dimension 2n1 admits a non-trivial solution of Fischer-Marsden equation, then it has constant scalar curvature. We give a comprehensive classification for a 2n1-dimensional K-paracontact manifold which admits a non-trivial solution of Fischer-Marsden equation. We consider 3-dimensional quasi-para-Sasakian manifolds with beta constant which admits Fischer-Marsden equation and prove that there are two possibilities. The first one is the scalar curvature r  6beta2 and M3 is Einstein. The second one is the manifold is paracosymplectic manifold and η-Einstein.

 The aim of this paper is to study of the non-trivial solutions of Fischer-Marsden conjecture on K-paracontact manifolds and 3-dimensional quasi-para-Sasakian manifolds. We prove that if a semi-Riemannian manifold of dimension 2n1 admits a non-trivial solution of Fischer-Marsden equation, then it has constant scalar curvature. We give a comprehensive classification for a 2n1-dimensional K-paracontact manifold which admits a non-trivial solution of Fischer-Marsden equation. We consider 3-dimensional quasi-para-Sasakian manifolds with beta constant which admits Fischer-Marsden equation and prove that there are two possibilities. The first one is the scalar curvature r  6beta2 and M3 is Einstein. The second one is the manifold is paracosymplectic manifold and η-Einstein.

 The aim of this paper is to study of the non-trivial solutions of Fischer-Marsden conjecture on K-paracontact manifolds and 3-dimensional quasi-para-Sasakian manifolds. We prove that if a semi-Riemannian manifold of dimension 2n1 admits a non-trivial solution of Fischer-Marsden equation, then it has constant scalar curvature. We give a comprehensive classification for a 2n1-dimensional K-paracontact manifold which admits a non-trivial solution of Fischer-Marsden equation. We consider 3-dimensional quasi-para-Sasakian manifolds with beta constant which admits Fischer-Marsden equation and prove that there are two possibilities. The first one is the scalar curvature r  6beta2 and M3 is Einstein. The second one is the manifold is paracosymplectic manifold and η-Einstein.

 The aim of this paper is to study of the non-trivial solutions of Fischer-Marsden conjecture on K-paracontact manifolds and 3-dimensional quasi-para-Sasakian manifolds. We prove that if a semi-Riemannian manifold of dimension 2n1 admits a non-trivial solution of Fischer-Marsden equation, then it has constant scalar curvature. We give a comprehensive classification for a 2n1-dimensional K-paracontact manifold which admits a non-trivial solution of Fischer-Marsden equation. We consider 3-dimensional quasi-para-Sasakian manifolds with beta constant which admits Fischer-Marsden equation and prove that there are two possibilities. The first one is the scalar curvature r  6beta2 and M3 is Einstein. The second one is the manifold is paracosymplectic manifold and η-Einstein.

Makale detayları

Fischer-Marsden conjecture on K-paracontact manifolds and quasi-para-Sasakian manifolds

Yazarlar:

Mustafa Özkan | İrem Küpeli Erken

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.68-78

Belge Tipi:

Makale

Yayın Tarihi:

8/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001341519

pISSN:

1303-5991

Fischer-Marsden equation

K-paracontact manifold

quasi-para-Sasakian manifold

gradient Ricci soliton

Sayı

Makale detayları

Fischer-Marsden conjecture on K-paracontact manifolds and quasi-para-Sasakian manifolds

Yazarlar: Mustafa Özkan | İrem Küpeli Erken

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.68-78

Belge Tipi: Makale

Yayın Tarihi: 8/2025

Belge Dili: İngilizce

Document ID (Org No.): 2001341519

pISSN: 1303-5991

Fischer-Marsden equation

K-paracontact manifold

quasi-para-Sasakian manifold

gradient Ricci soliton

Sayı

Yazarlar:

Mustafa Özkan | İrem Küpeli Erken

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.68-78

Belge Tipi:

Makale

Yayın Tarihi:

8/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001341519

pISSN:

1303-5991