Results 11 to 20 of about 204 (115)

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   +4 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

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

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

J Inequal Appl, 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.
europepmc   +5 more sources

AN IMPROVED CHEN-RICCI INEQUALITY FOR KAEHLERIAN SLANT SUBMANIFOLDS IN COMPLEX SPACE FORMS

Taiwanese Journal of Mathematics, 2012
B. Y. Chen proved in [4] an optimal inequality for Lagrangian submanifolds in complex space forms in terms of the Ricci curvature and the squared mean curvature, well-known as the Chen-Ricci inequality. Recently, the Chen-Ricci inequality was improved in [7, 11] for Lagrangian submanifolds in complex space forms.
Adela Mihai
exaly   +3 more sources

Analyzing the Ricci Tensor for Slant Submanifolds in Locally Metallic Product Space Forms with a Semi-Symmetric Metric Connection

Axioms
This article explores the Ricci tensor of slant submanifolds within locally metallic product space forms equipped with a semi-symmetric metric connection (SSMC).
Yanlin Li, Md Aquib, Meraj Ali Khan, Ibrahim Al-Dayel, Khalid Masood   +4 more
doaj   +3 more sources

Chen–Ricci inequality for anti-invariant Riemannian submersions from conformal Kenmotsu space form

Arabian Journal of Mathematics
AbstractThe aim of this paper is twofold: first, we obtain various curvature inequalities which involve the Ricci and scalar curvatures of horizontal and vertical distributions of anti-invariant Riemannian submersion defined from conformal Kenmotsu space form onto a Riemannian manifold.
Mehraj Ahmad Lone, Towseef Wani, Lone Mehraj Ahmad   +2 more
exaly   +2 more sources

Chen-Ricci inequalities for Riemannian maps and their applications

Differential Geometry and its Applications, 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
  +10 more sources

Publication Only [PDF]

Hemasphere
HemaSphere, Volume 10, Issue S1, June 2026.
europepmc   +2 more sources

A New Algebraic Inequality and Some Applications in Submanifold Theory

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   +1 more source