Results 61 to 70 of about 121 (91)

A lower bound of normalized scalar curvature for the submanifolds of locally conformal Kaehler space form using Casorati curvatures

open access: yesFilomat, 2017
In the present paper, we prove the inequality between the normalized scalar curvature and the generalized normalized ?-Casorati curvatures for the submanifolds of locally conformal Kaehler space form and also consider the equality case of the inequality.
openaire   +2 more sources

Casorati curvatures of pointwise slant submanifolds in para-complex space forms

open access: yesUkrains’kyi Matematychnyi Zhurnal
UDC 515.1 We define and study pointwise slant and pointwise semi-slant submanifolds in para-Kaehler manifolds. Some theorems, characterizations, and examples are obtained for pointwise slant and pointwise semi-slant submanifolds. We also obtain some results concerning the Casorati curvature for a pointwise slant submanifold in the para-Kaehler space ...
openaire   +1 more source

Bounds for generalized normalized δ-Casorati curvatures for Bi-slant submanifolds in T-space forms

open access: yesFilomat, 2018
In this paper, we prove the inequality between the generalized normalized ?-Casorati curvatures and the normalized scalar curvature for the bi-slant submanifolds in T-space forms and consider the equality case of the inequality. We also develop same results for semi-slant submanifolds, hemi-slant submanifolds, CR-submanifolds, slant ...
openaire   +2 more sources

Some inequalities for generalized normalized $\delta$-Casorati curvatures of slant submanifolds in generalized Sasakian space form

open access: yesNovi Sad Journal of Mathematics, 2017
Summary: In the present paper, we prove the inequality between the normalized scalar curvature and the generalized normalized \(\delta \)-Casorati curvatures for the slant submanifolds of generalized Sasakian space form and also consider the equality case of the inequality.
openaire   +2 more sources

Shape and Scale in Quantifying Aortic Morphology Evolution and Chronicity. [PDF]

open access: yesCardiovasc Eng Technol
Pugar JA, Jiang D, Kim J, Pocivavsek L.
europepmc   +1 more source

The geometric evolution of aortic dissections: Predicting surgical success using fluctuations in integrated Gaussian curvature. [PDF]

open access: yesPLoS Comput Biol
Khabaz K   +15 more
europepmc   +1 more source

Optimal inequalities involving Casorati curvatures along Riemannian maps and Riemannian submersions for quaternionic space form

open access: yes
In this paper, we establish Casorati inequalities for Riemannian maps and Riemannian submersions involving quaternionic space forms, and we provide geometric characterisations of their equality cases. First, we derive Casorati inequalities for Riemannian maps to quaternionic space forms and describe the corresponding equality cases, showing that the ...
openaire   +2 more sources

Inequalities on Riemannian Warped Product Submersions for Vertical Casorati Curvatures

Mediterranean Journal of Mathematics, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cengizhan Murathan   +2 more
exaly   +5 more sources

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