Quarter-Symmetric Metric Connection on a Cosymplectic Manifold
Abstrak
We study the quarter-symmetric metric <i>A</i>-connection on a cosymplectic manifold. Observing linearly independent curvature tensors with respect to the quarter-symmetric metric <i>A</i>-connection, we construct the Weyl projective curvature tensor on a cosymplectic manifold. In this way, we obtain new conditions for the manifold to be projectively flat. At the end of the paper, we define <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>η</mi></semantics></math></inline-formula>-Einstein cosymplectic manifolds of the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>θ</mi></semantics></math></inline-formula>-th kind and prove that they coincide with the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>η</mi></semantics></math></inline-formula>-Einstein cosymplectic manifold.
Topik & Kata Kunci
Penulis (2)
Miroslav D. Maksimović
Milan Lj. Zlatanović
Akses Cepat
- Tahun Terbit
- 2023
- Sumber Database
- DOAJ
- DOI
- 10.3390/math11092209
- Akses
- Open Access ✓