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Dergiler / International Electronic Journal of Geometry / 2017 / Volume: 10 Issue: 2

Doubly Warped Products in Locally Conformal Almost Cosymplectic Manifolds

Andreea Olteanu
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Yayın Tarihi
2017-10-29
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Recently, the author established a general inequality for doubly warped products in arbitrary

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Amaç & Hipotez:Recently, the author established a general inequality for doubly warped products in arbitrary
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Temel Bulgular & Veri:Recently, the author established a general inequality for doubly warped products in arbitrary
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Sonuç & Katkı:Recently, the author established a general inequality for doubly warped products in arbitrary
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Doubly warped product · minimal immersion · totally real submanifold

Abstract

Recently, the author established a general inequality for doubly warped products in arbitrary

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Bu Makaleye Atıf Yap

Olteanu, A. (2017). Doubly Warped Products in Locally Conformal Almost Cosymplectic Manifolds. International Electronic Journal of Geometry, Volume: 10 Issue: 2. https://doi.org/10.36890/iejg.545055

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Kaynakça (21)

  1. Bishop, R. L. and O’Neill, B., Manifolds of negative curvature. Trans. Amer. Math. Soc. 145 (1969), 1-49.
  2. Blair, D. E., Contact Manifolds in Riemannian Geometry. Lecture Notes in Math. 509, Springer, Berlin, 1976.
  3. Chen, B. Y., Some pinching and classification theorems for minimal submanifolds. Arch. Math. 60 (1993), 568-578.
  4. Chen, B. Y., On isometric minimal immersions from warped products into real space forms. Proc. Edinburgh Math. Soc. 45 (2002), 579-587.
  5. Chen, B. Y. and Dillen, F., Optimal inequalities for multiply warped product submanifolds. Int. Electron. J. Geom., Vol. 1 (2008), 1-11.
  6. Crasmareanu, M., Adapted metrics andWebster curvature on three classes of 3-dimensional geometries. Int. Electron. J. Geom., 7 (2) (2014), 37-46.
  7. Malek, F. and Nejadakbary, V.,Warped product submanifold in generalized Sasakian space form. Acta Math. Acad. Paedagog. Nyhazi. (N.S.) 27 no. 2 (2011), 325-338.
  8. Matsumoto, K. and Mihai, I., Warped product submanifolds in Sasakian space forms. SUT Journal of Mathematics 38 (2002), 135-144.
  9. Matsumoto, K., Mihai, I. and Rosca, R., A certain locally conformal almost cosymplectic manifold and its submanifolds. Tensor N.S. 51 (1) (1992), 91-102.
  10. Mihai, A., Warped product submanifolds in complex space forms. Acta Sci. Math. (Szeged) 70 (2004), 419-427.
  11. Mihai, A., Warped product submanifolds in quaternion space forms. Rev. Roumaine Math. Pures Appl. 50 (2005), 283-291.
  12. Mihai, A., Mihai I. and Miron, R. (Eds.), Topics in Differential Geometry, Ed. Academiei Romane, Bucuresti, 2008.
  13. Mihai, I. and Presura, I., An improved Chen first inequality for Legendrian submanifolds in Sasakian space forms. Period. Math. Hung. 74 (2) (2017), 220-226.
  14. Murathan, C., Arslan, K., Ezentas, R. and Mihai, I.,Warped product submanifolds in Kenmotsu space forms. Taiwanese J. Math. 10 (2006), 1431-1441.
  15. Olszak, Z., Locally conformal almost cosymplectic manifolds. Collq. Math. 57(1) (1989), 73-87.
  16. Olteanu, A., A general inequality for doubly warped product submanifolds. Math. J. Okayama Univ. 52 (2010), 133-142.
  17. Olteanu, A., Recent results in the geometry of warped product submanifolds, Matrix Rom, 2011.
  18. Olteanu, A., Doubly warped product submanifolds in generalized Sasakian space forms, Proceedings RIGA 2014, Ed. Univ. Bucuresti (2014), 174-184.
  19. Olteanu, A., Doubly warped products in S-space forms. Rom. J. Math. Comput. Sci. 4 Issue 1 (2014), 111-124.
  20. Ünal, B., Doubly warped products. Differ. Geom. App. 15(3) (2001), 253-263.
  21. Yoon, D. W., Cho, K. S. and Han, S. G., Some inequalities for warped products in locally conformal almost cosymplectic manifolds. Note Mat. 23 (1) (2004), 51-60.