Symmetry in Complex Contact Manifolds

Year 2017, , 165 - 168, 28.12.2017

Belgin Korkmaz

https://doi.org/10.17350/HJSE19030000064

Abstract

W ,κ µ-spaces with κ< are locally -symmetric.e define complex locally -symmetric spaces. As an example we prove that complex -spaces with κ

Keywords

Complex contact geometry, Symmetry, Local symmetry

References

• 1. D. E. Blair, Riemannian Geometry of Contact and Symplectic Manifolds, Birkhauser 2002.
• 2. D. E. Blair, T. Koufogiorgos and B. J. Papantoniou, A classification of 3-dimensional contact metric manifolds with , Kodai Math. J. 13 (1990), 391—401
• 3. D. E. Blair, A. Mihai, Symmetry in complex contact geometry, Rocky Mountain J. Math. 42 (2012), no. 2, 451—465
• 4. D. E. Blair, A. Mihai, Homogeneity and local symmetry of complex -spaces, Israel J. Math. 187 (2012), no. 2, 451— 464
• 5. E. Boeckx, A class of locally -symmetric contact metric spaces, Arch. Math. 72 (1999), 466—472
• 6. E. Boeckx and L. Vanhecke, Characteristic reflections on unit tangent sphere bundles, Houston J. Math. 23 (1997), 427—448
• 7. B. Foreman, Variational Problems on Complex Contact Manifolds with Applications to Twistor Space Theory, Thesis, Michigan State University 1996.
• 8. B. Foreman, Boothby-Wang fibrations on complex contact manifolds, Differential Geom. Appl., 13 (2000), 179--196.
• 9. S. Ishihara, M. Konishi, Complex almost contact structures in a complex contact manifold, Kodai Math. J., 5 (1982), 30--37.
• 10. S. Kobayashi, Remarks on complex contact manifolds, Proc. Amer. Math. Soc. 10 (1959), 164--167.
• 11. B. Korkmaz, A nullity condition for complex contact metric manifolds, J. Geom. 77 (2003), 108--128.
• 12. T. Takahashi, Sasakian -symmetric spaces, Tohoku Math. J. 29 (1977), 91--113.