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Dergiler / International Electronic Journal of Geometry / 2018 / Cilt: 11 - Sayı: 1

Upper Bound Inequalities for δ-Casorati Curvatures of Submanifolds in Generalized Sasakian Space Forms Admitting a Semi-Symmetric Metric Connection

Aliya Naaz SİDDİQUİ
Sayfa
57–67
Yayın Tarihi
2018-04-30
DOI
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In this paper, we establish two sharp inequalities, which involve the generalized normalized

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Amaç & Hipotez:In this paper, we establish two sharp inequalities, which involve the generalized normalized
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Temel Bulgular & Veri:In this paper, we establish two sharp inequalities, which involve the generalized normalized
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Sonuç & Katkı:In this paper, we establish two sharp inequalities, which involve the generalized normalized
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:δ-Casorati Curvatures · bi-slant submanifold · generalized Sasakian space forms

Abstract

In this paper, we establish two sharp inequalities, which involve the generalized normalized

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Bu Makaleye Atıf Yap

SİDDİQUİ, A. N. (2018). Upper Bound Inequalities for δ-Casorati Curvatures of Submanifolds in Generalized Sasakian Space Forms Admitting a Semi-Symmetric Metric Connection. International Electronic Journal of Geometry, Cilt: 11 - Sayı: 1, 57–67. https://ajindex.com/articles/672096

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Kaynakça (16)

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  10. Ghisoiu, V., Inequalities for thr Casorati curvatures of the slant submanifolds in complex space forms, Riemannian geometry and applications. Proc. RIGA 2011, ed. Univ. Bucuresti, Bucharest, (2011), 145–150
  11. Hayden, H.A. Subspace of a space with torsion, Proc. London Math. Soc., 34 (1932), 27–50
  12. Khan, V.A. and Khan, M.A., Pseudo-slant submanifolds of a Sasakian manifold, Indian J. Pure Appl. Math., 38 (2007), 31–42
  13. Kowalczyk, D., Casorati curvatures, Bull. Transilvania Univ. Brasov Ser. III, 50(1) (2008), 2009–2013
  14. Lee, C.W., Lee, J.W. and Vilcu, G.E., Optimal inequalities for the normalized δ-Casorati curvatures of submanifolds in Kenmotsu space forms, Advances in Geometry, 17 (2017), doi:10.1515/advgeom-2017–0008
  15. Lee, C.W., Lee, J.W., Vilcu, G.E. and Yoon, D.W. Optimal inequalities for the Casorati curvatures of the submanifolds of generalized space form endowed with semi-symmetric metric connections, Bull. Korean Math. Soc., 52 (2015), 1631–1647
  16. Lee, C.W., Yoon, D.W. and Lee, J.W., Optimal inequalities for the Casorati curvatures of submanifolds of real space forms endowed with semi-symmetric metric connections, J. Inequal. Appl., 201