Results 11 to 20 of about 3,336,490 (138)

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

Annales Polonici Mathematici, 2016
Summary: 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. The sectional curvature, the Ricci curvature and the scalar curvature of submanifolds of locally product manifolds of almost constant ...
Kilic, Erol, Tripathi, Mukut Mani, Guelbahar, Mehmet   +2 more
openaire   +5 more sources

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   +4 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   +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

B. Y. Chen-Ricci inequalities for anti-invariant Riemannian submersions in Kenmotsu space forms [PDF]

Arabian Journal of Mathematics
AbstractThe aim of the present paper is to analyze sharp type inequalities including the scalar and Ricci curvatures of anti-invariant Riemannian submersions in Kenmotsu space forms$$K_{s}(\varepsilon )$$Ks(ε). We give non-trivial examples for anti-invariant Riemannian submersions, investigate some curvature relations between the total space and fibres
Polat, Murat
openaire   +2 more sources

Classification Results of f-Biharmonic Immersion in T-Space Forms

Axioms
We investigate f-biharmonic submanifolds in T-space form, where we analyze different scenarios and provide necessary and sufficient conditions for f-biharmonicity.
Md Aquib, Mohd Iqbal, Sarvesh Kumar Yadav   +2 more
doaj   +2 more sources

Inégalité de Sobolev et volume asymptotique [PDF]

, 2012
International audienceA result of M. Ledoux is that a complete Riemannian manifold with non negative Ricci curvature satisfying the Euclidean Sobolev inequality is the Euclidean space. We present a shortcut of the proof.
Carron, Gilles
core   +9 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

Applications of differential equations to characterize the base of warped product submanifolds of cosymplectic space forms

Journal of Inequalities and Applications, 2020
In the present, we first obtain Chen–Ricci inequality for C-totally real warped product submanifolds in cosymplectic space forms. Then, we focus on characterizing spheres and Euclidean spaces, by using the Bochner formula and a second-order ordinary ...
Akram Ali, Fatemah Mofarreh, Wan Ainun Mior Othman, Dhriti Sundar Patra   +3 more
doaj   +1 more source