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Dergiler / International Electronic Journal of Geometry / 2009 / Volume: 2 Issue: 2

Riemannian Hypersurfaces with Constant Scalar Curvature In a Hessian Manifolds of Constant Curvature

Münevver Y. Yılmaz
Mehmet Bektaş
Mahmut Ergüt
Sayfa
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Yayın Tarihi
2009-10-30
DOI
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Bu Makaleye Atıf Yap

Yılmaz, M. Y., Bektaş, M., Ergüt, M. (2009). Riemannian Hypersurfaces with Constant Scalar Curvature In a Hessian Manifolds of Constant Curvature. International Electronic Journal of Geometry, Volume: 2 Issue: 2. https://ajindex.com/articles/1411397

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Kaynakça (14)

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  3. Shima, H., Vanishing theorems for compact Hessian manifolds, Ann. Inst. Fourier (Greno- ble),36-3, (1986), 183-205.
  4. Shima, H., Yagi, K., Geometry of Hessian manifolds, Diff. Geo. and Its Appl. 7 (1997), 277-290.
  5. Bektas, M, Yildirim, M., Kulahci, M., On hypersurfaces of Hessian manifolds with constant Hessian sectional curvature, Journal of Math. Statistics, 1 (2),(2005), 115-118.
  6. Bektas, M., Yildirim, M., Integral inequalities for submanifolds of Hessian Manifolds with constant Hessian sectional curvature, Iranian Journal of Sci. and Tech. Trans. A, Vol.30, No.A2, (2006), 235-239.
  7. Yildirim Yilmaz, M. Bektas, M., A survey on curvatures of Hessian manifolds, Chaos, Solitons and Fractals, vol.38, 3, (2008),620-630.
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  9. Chern, S. S., Do Cormo M., Kobayashi, S., Minimal submanifolds of a sphere with second fundamental form of constant length, Funct. Analysis and Related fields, Springer-Verlag, (1970),59-75.
  10. Nomizu, K., Smyth, B., A formula of Simons type and hypersurfaces with constant mean curvature, J. Diff. Geo. 3,(1969), 367-377.
  11. Nakagawa, H., Yokote, I., On hypersurfaces with constant scalar curvature in a Riemannian manifold of constant curvature, Kodai Math. Sem. Rep., 24, (1972), 471-481.
  12. Omachi, E., Hypersurfaces with harmonic curvature in a space of constant curvature, Kodai Math. J. 9, (1986), 170-174.
  13. Bektas, M, Yildirim, M., Kulahci, M., On hypersurfaces of Hessian manifolds with constant Hessian sectional curvature, Journal of Math. Statistics, 1 (2),(2005), 115-118.
  14. Bektas, M., Yildirim, M., Integral inequalities for submanifolds of Hessian Manifolds with constant Hessian sectional curvature, Iranian Journal of Sci. and Tech. Trans. A, Vol.30, No.A2, (2006), 235-239.