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Dergiler / International Electronic Journal of Geometry / 2019 / Cilt: 12 - Sayı: 1

Estimates of B.-Y. Chen’s δˆ-Invariant in Terms of Casorati Curvature and Mean Curvature for Strictly Convex Euclidean Hypersurfaces

Bogdan D. SUCEAVA
Mihaela B. VAJİAC
Sayfa
26–31
Yayın Tarihi
2019-03-27
DOI
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Chen’s δˆ-invariants can be estimated in function of other curvature terms through an algebraic

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Amaç & Hipotez:Chen’s δˆ-invariants can be estimated in function of other curvature terms through an algebraic
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Temel Bulgular & Veri:Chen’s δˆ-invariants can be estimated in function of other curvature terms through an algebraic
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Sonuç & Katkı:Chen’s δˆ-invariants can be estimated in function of other curvature terms through an algebraic
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:principal curvatures · Casorati curvature · mean curvature

Abstract

B.-Y. Chen’s δˆ-invariants can be estimated in function of other curvature terms through an algebraic

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Bu Makaleye Atıf Yap

SUCEAVA, B. D., VAJİAC, M. B. (2019). Estimates of B.-Y. Chen’s δˆ-Invariant in Terms of Casorati Curvature and Mean Curvature for Strictly Convex Euclidean Hypersurfaces. International Electronic Journal of Geometry, Cilt: 12 - Sayı: 1, 26–31. https://ajindex.com/articles/672083

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Kaynakça (17)

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  3. Casorati, Felice, Mesure de la courbure des surfaces suivant l’idée commune. Ses rapports avec les mesures de courbure gaussienne et moyenne, Acta Math., 14(1)(1890), 95–110
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  8. Chen, Bang-Yen, Some new obstructions to minimal and Lagrangian isometric immersions. Japanese J. Math., 26(2000), 105-127
  9. Chen, Bang-Yen, A series of Kählerian invariants and their applications to Kählerian geometry. Beiträge Algebra Geom.,42(2001), 165-178
  10. Chen, Bang-Yen, Pseudo-Riemannian submanifolds, -invariants and Applications, World Scientific, 2011
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  12. De Smet, P. J.; Dillen, F.; Verstraelen, L.; Vrancken, L., A pointwise inequality in submanifold theory. Arch. Math. (Brno), 35(1999), no. 2, 115–128
  13. Decu, S.; Haesen, S.; and Verstraelen, L., Optimal inequalities involving Casorati curvatures. Bull. Transylv. Univ. Bra¸sov Ser. B, 14(2007), 85–93
  14. Decu, S.; Haesen, S.; Verstraelen, L.; Vîlcu, G.-E., Curvature Invariants of Statistical Submanifolds in Kenmotsu Statistical Manifolds of Constant -Sectional Curvature. Entropy, 20(2018) 20, 529
  15. Dillen, F.; Fastenakels, J.; Van der Veken, J., A pinching theorem for the normal scalar curvature of invariant submanifolds. J. Geom. Phys., 57(2007), no. 3, 833–840. [16] doCarmo, Manfredo P., Riemannian Geometry, Birkhäuser, 1992
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