Some Results on Normal Almost Contact Manifolds with B-Metric
Download PDF
Authors: N. OZDEMIR, S. AKTAY AND M. SOLGUN
DOI: 10.46793/KgJMat2604.597O
Abstract:
In this study, normal almost contact manifolds with B-metric are considered. Almost complex manifolds with Norden metric are obtained by multiplying almost contact manifolds with B-metric by warped product (by using a function on real numbers). New examples of normal almost complex manifolds with Norden metric are derived. Furthermore, curvature properties of the almost complex manifolds with Norden metric obtained from almost contact manifolds with B-metric are investigated.
Keywords:
Almost contact manifold with B-metric, almost complex manifold with Norden metric, Einstein manifold, curvature, warped product.
References:
[1] D. E. Blair, Riemannian Geometry of Contact and Symplectic Manifolds, Birkhäuser, Boston, 2002.
[2] G. Ganchev, V. Mihova and K. Gribachev, Almost contact manifolds with B-metric, Math. Balkanica 7(3–4) (1993), 261–276.
[3] G. T. Ganchev and A. V. Borisov, Note on the almost complex manifolds with a Norden metric, Compt. Rend. Acad. Bulg. Sci. 39 (1986), 31–34.
[4] S. Ivanov, H. Manev and M. Manev, Sasaki-like almost contact complex Riemannian manifolds, J. Geom. Phys. 107 (2016), 136–148. https://doi.org/10.1016/j.geomphys.2016.05.009
[5] M. Manev, Curvature properties on some classes of almost contact manifolds with B-metric, Compt. Rend. Acad. Bulg. Sci. 65(3) (2012), 283–290.
[6] M. Manev, On the conformal geometry of almost contact manifolds with B-metric, Ph. D. Thesis, University of Plovdiv, 1998.
[7] S. Sasaki, On differentiable manifolds with certain structures which are closely related to almost contact structure I, Tohoku Math. J. 12 (1960), 459–476.
[8] M. Solgun, On constructing almost complex Norden metric structures, AIMS Math. 7(10) (2022), 17942–17953. https://doi.org/10.3934/math.2022988
[9] M. Solgun and Y. Karababa, A natural way to construct an almost complex B-metric structure, Math. Methods Appl. Sci. 44(9) (2021), 7607–7613. https://doi.org/10.1002/mma.6430
[10] M. Teofilova, Curvature properties of normal almost contact manifolds with B-metric, J. Geom. 104 (2013), 571–584. https://doi.org/10.1007/s00022-013-0171-5
