Results 11 to 20 of about 3,074,762 (147)

Chen–Ricci Inequality for Isotropic Submanifolds in Locally Metallic Product Space Forms

Axioms
In this article, we study isotropic submanifolds in locally metallic product space forms. Firstly, we establish the Chen–Ricci inequality for such submanifolds and determine the conditions under which the inequality becomes equality.
Yanlin Li, Meraj Ali Khan, MD Aquib, Ibrahim Al-Dayel, Maged Zakaria Youssef   +4 more
doaj   +5 more sources

A New Algebraic Inequality and Some Applications in Submanifold Theory [PDF]

Mathematics, 2021
We give a simple proof of the Chen inequality involving the Chen invariant δ(k) of submanifolds in Riemannian space forms. We derive Chen’s first inequality and the Chen–Ricci inequality.
Ion Mihai, Radu-Ioan Mihai
doaj   +7 more sources

Chen’s Ricci inequalities and topological obstructions on null hypersurfaces of a Lorentzian manifold [PDF]

Journal of Inequalities and Applications, 2018
Given a null hypersurface of a Lorentzian manifold, we isometrically immerse a null hypersurface equipped with the Riemannian metric (induced on it by the rigging) into a Riemannian manifold suitably constructed on the Lorentzian manifold. We study the intrinsic and extrinsic geometry of such an isometric immersion and we link them to the null geometry
Ménédore K.
exaly   +6 more sources

A Simple Proof of Chen–Ricci Inequality and Applications

Geometry
In the present paper, we give a simple proof of the Chen–Ricci inequality for submanifolds in Riemannian and Lorentzian space forms, respectively. Moreover, we extend the Chen–Ricci inequality to submanifolds in Lorentzian manifolds with a semi-symmetric non-metric connection.
Ion Mihai
exaly   +3 more sources

Japanese clinical practice guidelines for vascular tumors, vascular malformations, lymphatic malformations, and lymphangiomatosis 2022. [PDF]

Surg Today
ABSTRACT The objective was to prepare guidelines to perform the current optimum treatment by organizing effective and efficient treatments of hemangiomas and vascular malformations, confirming the safety, and systematizing treatment, employing evidence‐based medicine techniques and aimed at improvement of the outcomes.
Kinoshita Y, Ishikawa K, Akita S, Koh K, Sasaki S, Jinnin M, Mimura H, Osuga K, Ozeki M, Nagahama M, Fujino A, Aoki Y, Asai A, Aramaki-Hattori N, Ishiura R, Inoue M, Iwashina Y, Ohshiro T, Ogawa K, Ozaki M, Ochi J, Onozawa S, Kato M, Kaneko T, Kawakami T, Kitagawa A, Kurita M, Kuwano Y, Kono T, Seike S, Takagi S, Takakura N, Tachibana T, Tanoue S, Chuman K, Nakaoka H, Nakamura Y, Nagai F, Niimi Y, Nosaka S, Nozaki T, Nomura T, Hashimoto K, Hayashi A, Hirakawa S, Hirabayashi T, Furukawa T, Furukawa H, Hori Y, Maekawa T, Matsuoka K, Mori H, Morii E, Morimoto A, Moriwaki Y, Yuzuriha S, Rikihisa N, Fujita M, Yamahana Y, Deie K, Tozawa A, Hasegawa D, Higashiyama A, Maeda D, Asayama S, Arai Y, Iwata Y, Uka M, Usui H, Uchiyama M, Endo S, Endo H, Ono R, Oshima N, Otsuka T, Ohara K, Kagami S, Kakihara T, Kato M, Kanamori H, Kamata M, Kawaguchi A, Kishi A, Kitagawa H, Kim K, Kobayashi T, Saito T, Shikano Y, Shimada S, Suzuki K, Takahashi M, Takami S, Takeda R, Tanaka A, Tanaka K, Tamura S, Tamura M, Danno K, Tsuboi K, Nakajima Y, Nakatani R, Noguchi M, Nozawa A, Hashizume N, Hayakawa M, Hayashi D, Fukumoto T, Honda M, Matsuda N, Maruguchi H, Murakami N, Yaguchi K, Yasue S, Yoshihara H, Yoshimatsu R, Yamamoto K, Wada S.   +116 more
europepmc   +7 more sources

Chen-Ricci inequalities for Riemannian maps and their applications

AIMS Mathematics, 2022
Riemannian maps between Riemannian manifolds, originally introduced by A.E. Fischer in [Contemp. Math. 132 (1992), 331-366], provide an excellent tool for comparing the geometric structures of the source and target manifolds. Isometric immersions and Riemannian submersions are particular examples of such maps.
Lee, Jae Won, Lee, Chul Woo, Sahin, Bayram, Vilcu, Gabriel-Eduard   +3 more
core   +6 more sources

The δ(2,2)-Invariant on Statistical Submanifolds in Hessian Manifolds of Constant Hessian Curvature [PDF]

Entropy, 2020
We establish Chen inequality for the invariant δ ( 2 , 2 ) on statistical submanifolds in Hessian manifolds of constant Hessian curvature. Recently, in co-operation with Chen, we proved a Chen first inequality for such submanifolds.
Adela Mihai, Ion Mihai
doaj   +2 more sources

Ricci Curvature for Warped Product Submanifolds of Sasakian Space Forms and Its Applications to Differential Equations

Journal of Mathematics, 2021
In the present paper, we establish a Chen–Ricci inequality for a C-totally real warped product submanifold Mn of Sasakian space forms M2m+1ε. As Chen–Ricci inequality applications, we found the characterization of the base of the warped product Mn via ...
Fatemah Mofarreh, Akram Ali, Nadia Alluhaibi, Olga Belova   +3 more
doaj   +2 more sources

Chen-Ricci inequalities in slant submersions for complex space forms

Filomat, 2022
The goal of the present paper is to analyze sharp type inequalities including the scalar and Ricci curvatures of slant submersions in complex space forms.
Murat Polat
exaly   +3 more sources

Improved Chen’s Inequalities for Submanifolds of Generalized Sasakian-Space-Forms

Axioms, 2022
In this article, we derive Chen’s inequalities involving Chen’s δ-invariant δM, Riemannian invariant δ(m1,⋯,mk), Ricci curvature, Riemannian invariant Θk(2≤k≤m), the scalar curvature and the squared of the mean curvature for submanifolds of generalized ...
Yanlin Li, Mohan Khatri, Jay Prakash Singh, Sudhakar K. Chaubey   +3 more
doaj   +2 more sources