Results 11 to 20 of about 2,316 (142)
Geometric Mechanics on Warped Product Semi-Slant Submanifold of Generalized Complex Space Forms
Advances in Mathematical Physics, 2021 In this study, we develop a general inequality for warped product semi-slant submanifolds of type Mn=NTn1×fNϑn2 in a nearly Kaehler manifold and generalized complex space forms using the Gauss equation instead of the Codazzi equation.
Yanlin Li, Ali H. Alkhaldi, Akram Ali
doaj +2 more sources
Geometric inequalities for warped product bi-slant submanifolds with a warping function. [PDF]
J Inequal Appl, 2018 In this paper, we prove that the squared norm of the second fundamental form for bi-slant submanifolds with any codimension of nearly trans-Sasakian manifolds is bounded below by the gradient of a warping function and also find the conditions on which the equality holds. Some related examples are also provided.
Siddiqui AN, Shahid MH, Lee JW.
europepmc +5 more sources
Curvature Estimates for Submanifolds in Warped Products [PDF]
Results in Mathematics, 2011 We give estimates on the intrinsic and the extrinsic curvature of manifolds that are isometrically immersed as cylindrically bounded submanifolds of warped products. We also address extensions of the results in the case of submanifolds of the total space of a Riemannian submersion.
Alías, L. J. +3 more
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Warped Product Submanifolds of Riemannian Product Manifolds [PDF]
Abstract and Applied Analysis, 2012 We study warped product of the type Nθ×fNT and Nθ×fN⊥, where Nθ, NT, and N⊥ are proper slant, invariant, and anti‐invariant submanifolds, respectively, and we prove some basic results and finally obtain some inequalities for squared norm of second fundamental form.
Al-Solamy, Falleh R., Khan, Meraj Ali
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WIREs Computational Statistics, Volume 15, Issue 5, September/October 2023., 2023 The graph illustrates brain changes in regional metabolic activity and connectivity in a cohort of mildly cognitively impaired patients. The depicted changes reflect patterns at 24 months relative to baseline and are determined by Bayesian Spatial Modeling of activation and connectivity (BSMac).
Daniel F. Drake +4 more
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On a certain type of warped-twisted product submanifolds
Turkish Journal of Mathematics, 2022 The authors investigate a certain type of warped-twisted products which are warped product hemislant submanifolds in globally conformal Kähler manifolds. They obtain necessary and sufficient conditions for such submanifolds to be a twisted product, a base conformal warped product or a direct product submanifold.
Gerdan Aydin, Sibel, Tastan, Hakan Mete
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Nonnegative scalar curvature on manifolds with at least two ends
Journal of Topology, Volume 16, Issue 3, Page 855-876, September 2023., 2023 Abstract Let M$M$ be an orientable connected n$n$‐dimensional manifold with n∈{6,7}$n\in \lbrace 6,7\rbrace$ and let Y⊂M$Y\subset M$ be a two‐sided closed connected incompressible hypersurface that does not admit a metric of positive scalar curvature (abbreviated by psc). Moreover, suppose that the universal covers of M$M$ and Y$Y$ are either both spin
Simone Cecchini +2 more
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Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 This paper focuses on the investigation of semi‐invariant warped product submanifolds of Sasakian space forms endowed with a semisymmetric metric connection. We delve into the study of these submanifolds and derive several fundamental results. Additionally, we explore the practical implications of our findings by applying them to the homology analysis ...
Ibrahim Al-Dayel +3 more
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Warped Product Submanifolds of LP‐Sasakian Manifolds [PDF]
Discrete Dynamics in Nature and Society, 2012 We study of warped product submanifolds, especially warped product hemi‐slant submanifolds of LP‐Sasakian manifolds. We obtain the results on the nonexistance or existence of warped product hemi‐slant submanifolds and give some examples of LP‐Sasakian manifolds.
Hui, Shyamal Kumar +3 more
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Pointwise Hemislant Submanifolds in a Complex Space Form
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 In this paper, pointwise hemislant submanifolds were introduced in a Kahler manifold. The integrability conditions for the distributions which are involved in the definition of a pointwise hemislant submanifold were investigated. In addition, the necessary and sufficient conditions were given for a pointwise hemislant submanifold to be a pointwise ...
Noura Alhouiti, Antonio Masiello
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