Research Article

Curvature Inequalities between a Hessian Manifold with Constant Curvature and its Submanifolds

Volume: 5 Number: 1 April 30, 2017
EN

Curvature Inequalities between a Hessian Manifold with Constant Curvature and its Submanifolds

Abstract

In this paper after a short description of Hessian manifolds, we establish new curvature inequalities between a Hessian manifold and its submanifolds.

Keywords

Hessian Manifold,Riemannian Curvature Tensor,sectional curvature,spaceform

References

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  4. [4] Bektas, M., Yildirim, M., Integral inequalities for submanifolds of Hessian manifolds with constant Hessian sectional curvature. Iranian Journal of Sci. and Tech.Trans. A. Sci. vol.30, no.A2 (2006), 235-239.
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  6. [6] Hineva, S., Submanifolds for which a lower bound of the Ricci curvature is achieved. J.Geom. 88, (2008), 53-69.
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APA
Yılmaz, M. Y., & Bektaş, M. (2017). Curvature Inequalities between a Hessian Manifold with Constant Curvature and its Submanifolds. Mathematical Sciences and Applications E-Notes, 5(1), 27-33. https://doi.org/10.36753/mathenot.421479
AMA
1.Yılmaz MY, Bektaş M. Curvature Inequalities between a Hessian Manifold with Constant Curvature and its Submanifolds. Math. Sci. Appl. E-Notes. 2017;5(1):27-33. doi:10.36753/mathenot.421479
Chicago
Yılmaz, Münevver Yıldırım, and Mehmet Bektaş. 2017. “Curvature Inequalities Between a Hessian Manifold With Constant Curvature and Its Submanifolds”. Mathematical Sciences and Applications E-Notes 5 (1): 27-33. https://doi.org/10.36753/mathenot.421479.
EndNote
Yılmaz MY, Bektaş M (April 1, 2017) Curvature Inequalities between a Hessian Manifold with Constant Curvature and its Submanifolds. Mathematical Sciences and Applications E-Notes 5 1 27–33.
IEEE
[1]M. Y. Yılmaz and M. Bektaş, “Curvature Inequalities between a Hessian Manifold with Constant Curvature and its Submanifolds”, Math. Sci. Appl. E-Notes, vol. 5, no. 1, pp. 27–33, Apr. 2017, doi: 10.36753/mathenot.421479.
ISNAD
Yılmaz, Münevver Yıldırım - Bektaş, Mehmet. “Curvature Inequalities Between a Hessian Manifold With Constant Curvature and Its Submanifolds”. Mathematical Sciences and Applications E-Notes 5/1 (April 1, 2017): 27-33. https://doi.org/10.36753/mathenot.421479.
JAMA
1.Yılmaz MY, Bektaş M. Curvature Inequalities between a Hessian Manifold with Constant Curvature and its Submanifolds. Math. Sci. Appl. E-Notes. 2017;5:27–33.
MLA
Yılmaz, Münevver Yıldırım, and Mehmet Bektaş. “Curvature Inequalities Between a Hessian Manifold With Constant Curvature and Its Submanifolds”. Mathematical Sciences and Applications E-Notes, vol. 5, no. 1, Apr. 2017, pp. 27-33, doi:10.36753/mathenot.421479.
Vancouver
1.Münevver Yıldırım Yılmaz, Mehmet Bektaş. Curvature Inequalities between a Hessian Manifold with Constant Curvature and its Submanifolds. Math. Sci. Appl. E-Notes. 2017 Apr. 1;5(1):27-33. doi:10.36753/mathenot.421479