Results 21 to 30 of about 2,645,047 (151)

Some Chen Inequalities for Submanifolds in Trans-Sasakian Manifolds Admitting a Semi-Symmetric Non-Metric Connection

Axioms
In the present article, we study submanifolds tangent to the Reeb vector field in trans-Sasakian manifolds. We prove Chen’s first inequality and the Chen–Ricci inequality, respectively, for such submanifolds in trans-Sasakian manifolds which admit a semi-
Mohammed Mohammed, Fortuné Massamba, Ion Mihai, Abd Elmotaleb A. M. A. Elamin, M. Saif Aldien   +4 more
doaj   +2 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

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

On Type-I singularities in Ricci flow [PDF]

, 2011
07.02.13 KB. Accepted version ok to add to Spiral. IP/Sherpa.We define several notions of singular set for Type I Ricci flows and show that they all coincide.
Topping, Peter, Topping, P, Muller, Reto, Enders, J, Enders, Joerg, Müller, R   +5 more
core   +3 more sources

Generalized Wintgen Inequality for Statistical Submanifolds in Hessian Manifolds of Constant Hessian Curvature

Mathematics, 2022
The geometry of Hessian manifolds is a fruitful branch of physics, statistics, Kaehlerian and affine differential geometry. The study of inequalities for statistical submanifolds in Hessian manifolds of constant Hessian curvature was truly initiated in ...
Aliya Naaz Siddiqui, Ali Hussain Alkhaldi, Lamia Saeed Alqahtani   +2 more
doaj   +1 more source

Chen-Ricci Inequalities with a Quarter Symmetric Connection in Generalized Space Forms

Advances in Mathematical Physics, 2021
In this article, we obtain improved Chen-Ricci inequalities for submanifolds of generalized space forms with quarter-symmetric metric connection, with the help of which we completely characterized the Lagrangian submanifold in generalized complex space form and a Legendrian submanifold in a generalized Sasakian space form.
Ali H. Al-Khaldi, Mohd. Aquib, Mohd Aslam, Meraj Ali Khan   +3 more
openaire   +3 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.
Gündüzalp, Yılmaz, Polat, Murat
openaire   +2 more sources

An Invariant of Riemannian Type for Legendrian Warped Product Submanifolds of Sasakian Space Forms

Mathematics, 2023
In the present paper, we investigate the geometry and topology of warped product Legendrian submanifolds in Sasakian space forms D2n+1(ϵ) and obtain the first Chen inequality that involves extrinsic invariants like the mean curvature and the length of ...
Fatemah Abdullah Alghamdi, Lamia Saeed Alqahtani, Ali H. Alkhaldi, Akram Ali   +3 more
doaj   +1 more source

Optimal Inequalities for Hemi-Slant Riemannian Submersions

Mathematics, 2022
In the present paper, we establish some basic inequalities involving the Ricci and scalar curvature of the vertical and the horizontal distributions for hemi-slant submersions having the total space a complex space form. We also discuss the equality case
Mehmet Akif Akyol, Ramazan Demir, Nergiz Önen Poyraz, Gabriel-Eduard Vîlcu   +3 more
doaj   +1 more source