On the Ricci Curvature of Normal-Metric Contact Pair Manifolds
Abstract
Keywords
Ricci symmetric, Normal-metric contact pair manifold, generalized quasi-Einstein, Ricci curvature
References
- D. E. Blair, Riemannian Geometry of Contact and Symplectic Manifolds, Springer Science Business Media, 2010.
- S. Kobayashi, Remarks on Complex Contact Manifolds, Proceedings of the American Mathematical Society 10 (1959) 164-167.
- S. Ishihara, M. Konishi, Complex Almost-contact Structures in a Complex Contact Manifold, Kodai Mathematical Journal 5 (1982) 30-37.
- B. Korkmaz, Normality of Complex Contact Manifolds, Rocky Mountain Journal of Mathematics 30 (2000) 1343-1380.
- A. T. Vanlı, D. E. Blair, The Boothby-Wang Fibration of the Iwasawa Manifold as a Critical Point of the Energy, Monatshefte für Mathematik 147 (2006) 75-84.
- A. T. Vanlı, İ. Ünal, Conformal, Concircular, Quasi-conformal and Conharmonic Flatness on Normal Complex Contact Metric Manifolds, International Journal of Geometric Methods in Modern Physics 14(05) (2017). doi: 10.1142/S0219887817500670
- A. T. Vanlı, İ. Ünal, I. On Complex \eta-Einstein Normal Complex Contact Metric Manifolds, Communications in Mathematics and Application 8(3) (2017) 301-313. doi:10.26713/cma.v8i3.509
- D. Fetcu, Harmonic Maps between Complex Sasakian Manifolds, Rendiconti del Seminario Matematico Universita e Politecnico di Torino 64 (2006) 319-329.
- B. J. Foreman, Complex Contact Manifolds and Hyperkahler Geometry, Kodai Mathematical Journal 23(1) (2000) 12-26.
- D. Fetcu, An Adapted Connection on a Strict Complex Contact Manifold, in Proceedings of the 5th Conference of Balkan Society of Geometers (2006) 54-61.