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Submanifolds of Sasaki-like Almost Contact Manifolds with B-metric

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In this paper, we introduce the geometry of contact CR submanifolds and radical transversal lightlike submanifolds of Sasaki-like almost contact manifolds with Bmetric. We obtain some new results that establish a relationship between these two submanifolds.

Abstract

In this paper, we introduce the geometry of contact CR submanifolds and radical transversal lightlike submanifolds of Sasaki-like almost contact manifolds with Bmetric. We obtain some new results that establish a relationship between these two submanifolds.

참고문헌 (11)

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  3. C. Calin, "Contributions to geometry of CR-submanifold", pp.1998
  4. K. L. Duggal, "Lightlike submanifolds of semi-Riemannian manifolds and applications" (1996), Kluwer Academic Publishers
  5. K. L. Duggal, "Lightlike submanifolds of indefinite Sasakian manifolds", Int. J. Math. Math. Sci., pp.21~ (2007)
  6. G. Ganchev, "Almost contact manifolds with B-metric", Math. Balkanica (N.S.), 7(3–4), pp.261~276 (1993)
  7. S. Ivanov, "H. Manev and M. Manev Sasaki-like almost contact complex Riemannian manifolds", J. Geom. Phys, 107, pp.136~148 (2016)
  8. K. Matsumoto, "On contact CR-submanifolds of Sasakian manifolds", Internat. J. Math. Math. Sci, 6(2), pp.313~326 (1983)
  9. G. Nakova, "Some lightlike submanifolds of almost complex manifolds with Norden metric", J. Geom, 103, pp.293~312 (2012)
  10. K. Yano, "Differential geometry of CR submanifolds", Geom. Dedicata, 10, pp.369~391 (1981)
  11. C. Yildirim, "Transversal lightlike submanifolds of indefinite Sasakian manifolds", Turkish J. Math, 34, pp.561~583 (2010)

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