Results 11 to 20 of about 3,034,641 (146)

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

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

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   +2 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-Ricci inequalities for Riemannian maps and their applications

AIMS Mathematics, 1992
AMS Special Session Differential Geometry and Global Analysis, Honoring the Memory of Tadashi Nagano (1930-2017) at Joint Mathematical Meeting -- JAN 16, 2020 -- Denver, CORiemannian maps between Riemannian manifolds, originally introduced by A.E ...
Lee, Chul Woo, Sahin, Bayram, Lee, Jae Won, Vilcu, Gabriel-Eduard, Sin, Aytül   +4 more
core   +6 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

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.
Ion Mihai
core   +2 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

Chen–Ricci inequalities for submanifolds of Riemannian and Kaehlerian product manifolds

Annales Polonici Mathematici, 2016
Some examples of slant submanifolds of almost product Riemannian manifolds are presented. The existence of a useful orthonormal basis in proper slant submanifolds of a Riemannian product manifold is proved.
Gülbahar, Mehmet, Kılıç, Erol, Tripathi, Mukut Mani   +2 more
core   +5 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