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

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

Mihaela B. VAJİAC
Bogdan D. SUCEAVA
Sayfa
26–31
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

As a consequence, we obtain anew string of inequalities in the geometry of strictly convex smooth hypersurfaces.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:Chen’s ^-invariants can be estimated in function of other curvature terms through an algebraicprocess using the AM-GM and AM-QM inequalities.
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Temel Bulgular & Veri:This procedure works on strictly convexsmooth hypersurfaces lying in an Euclidean ambient space, and the estimates relate some ^-invariants to Germain’s mean curvature and Casorati curvature.
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Sonuç & Katkı:As a consequence, we obtain anew string of inequalities in the geometry of strictly convex smooth hypersurfaces.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

B.-Y. Chen’s ^-invariants can be estimated in function of other curvature terms through an algebraicprocess using the AM-GM and AM-QM inequalities. This procedure works on strictly convexsmooth hypersurfaces lying in an Euclidean ambient space, and the estimates relate some ^-invariants to Germain’s mean curvature and Casorati curvature. As a consequence, we obtain anew string of inequalities in the geometry of strictly convex smooth hypersurfaces.

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Bu Makaleye Atıf Yap

VAJİAC, M. B., SUCEAVA, B. D. (2022). Estimates of B.-Y. Chen’s ^ -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/539638

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Kaynakça (17)

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