Recent developments in Wintgen inequality and Wintgen ideal submanifolds

BY Chen - International Electronic Journal of Geometry, 2021 - dergipark.org.tr
P. Wintgen proved in Sur l'inégalité de Chen-Willmore. CR Acad. Sci. Paris 288, 993–995
(1979) that the Gauss curvature G and the normal curvature K^D of a surface in the …

Curvature Inequalities for Slant Submanifolds in Pointwise Kenmotsu Space Forms

GE Vîlcu - Contact Geometry of Slant Submanifolds, 2022 - Springer
Curvature Inequalities for Slant Submanifolds in Pointwise Kenmotsu Space Forms |
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The first fundamental equation and generalized Wintgen-type inequalities for submanifolds in generalized space forms

M Aquib, MN Boyom, MH Shahid, GE Vîlcu - Mathematics, 2019 - mdpi.com
In this work, we first derive a generalized Wintgen type inequality for a Lagrangian
submanifold in a generalized complex space form. Further, we extend this inequality to the …

Generalized Wintgen inequality for submanifolds in generalized (κ, µ)-space forms

CW Lee, JW Lee, GE Vîlcu - Quaestiones Mathematicae, 2022 - Taylor & Francis
In this paper, we obtain a generalized Wintgen-type inequality for submanifolds in
generalized (κ, µ)-space forms. Further, we discuss the inequality for bi-slant submanifolds …

[PDF][PDF] Generalized Wintgen-type inequality for submanifolds in S-space-forms

M Kouamou - Balkan Journal of Geometry and Its Applications, 2022 - kurims.kyoto-u.ac.jp
In this paper, we obtain the generalized Wintgen inequality for C-totally real submanifolds in
S-space form. The advantage with this result is that we have two inequalities in only one. We …

[PDF][PDF] On the normal scalar curvature conjecture for legendrian submanifolds in Kenmotsu space forms

MF Naghi, MS Stanković, F Alghamdi - Filomat, 2020 - doiserbia.nb.rs
On the Normal Scalar Curvature Conjecture for Legendrian Submanifolds in Kenmotsu Space
Forms Page 1 Filomat 34:12 (2020), 3885–3891 https://doi.org/10.2298/FIL2012885N Published …

İStatiksel Kenmotsu Manifoldlarin Legendrian Altmanifoldlarda Genelleştirilmiş Wintgen Eşitsizliği

R Görünüş - 2019 - search.proquest.com
Bu Yüksek Lisans Tezi yedi temel bölüm içermektedir. İlk bölüm giriştir. Bu bölümde Wintgen
eşitsizliğinin tarihçesinden bahsedilmiştir. İkinci bölümde temel tanım ve formüller …