Results 31 to 40 of about 166 (137)
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 In the present paper, we establish a Chen–Ricci inequality for a C‐totally real warped product submanifold Mn of Sasakian space forms M21m+ε. As Chen–Ricci inequality applications, we found the characterization of the base of the warped product Mn via the first eigenvalue of Laplace–Beltrami operator defined on the warping function and a second‐order ...
Fatemah Mofarreh +4 more
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Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021 Recently, we have obtained Ricci curvature inequalities for skew CR‐warped product submanifolds in the framework of complex space form. By the application of Bochner’s formula on these inequalities, we show that, under certain conditions, the base of these submanifolds is isometric to the Euclidean space.
Ibrahim Al-Dayel +2 more
wiley +1 more source
Semi‐Slant Warped Product Submanifolds of a Kenmotsu Manifold [PDF]
Mathematical Problems in Engineering, 2012 We study semi‐slant warped product submanifolds of a Kenmotsu manifold. We obtain a characterization for warped product submanifolds in terms of warping function and shape operator and finally proved an inequality for squared norm of second fundamental form.
Al-Solamy, Falleh R., Khan, Meraj Ali
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A DDVV INEQUALITY FOR SUBMANIFOLDS OF WARPED PRODUCTS [PDF]
Bulletin of the Australian Mathematical Society, 2017 We prove a DDVV inequality for submanifolds of warped products of the form $I\times _{a}\mathbb{M}^{n}(c)$, where $I$ is an interval and $\mathbb{M}^{n}(c)$ is a real space form of curvature $c$. As an application, we give a rigidity result for submanifolds of $\mathbb{R}\times _{e^{\unicode[STIX]{x1D706}t}}\mathbb{H}^{n}(c)$.
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Warped Product Pointwise Semi Slant Submanifolds of Sasakian Space Forms and their Applications
Advances in Mathematical Physics, 2020 In this study, we attain some existence characterizations for warped product pointwise semi slant submanifolds in the setting of Sasakian space forms. Moreover, we investigate the estimation for the squared norm of the second fundamental form and further
Nadia Alluhaibi, Meraj Ali Khan
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Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021 The present paper studies the applications of Obata’s differential equations on the Ricci curvature of the pointwise semislant warped product submanifolds. More precisely, by analyzing Obata’s differential equations on pointwise semislant warped product submanifolds, we demonstrate that, under certain conditions, the base of these submanifolds is ...
Amira A. Ishan, G. Muhiuddin
wiley +1 more source
Submanifolds immersed in a warped product with density
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Araújo, Jogli G. +3 more
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WARPED PRODUCT SUBMANIFOLDS IN KENMOTSU SPACE FORMS
Taiwanese Journal of Mathematics, 2006 Recently, Chen established a general sharp inequality for warped products in real space forms. As applications, he obtained obstructions to minimal isometric immersions of warped products into real space forms. Afterwards, Matsumoto and one of the present authors proved the Sasakian version of this inequality.
Murathan, Cengizhan +3 more
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Cr-warped product submanifolds of Lorentzian manifolds [PDF]
Mathematica Moravica, 2010 Warped product CR-submanifolds of Lorentzian Sasakian manifolds are investigated. Especially, it is shown that a warped product \(M=N_\bot\times_f N_T\) in a Lorentzian Sasakian manifold is simply a CR-product (\(f\) is constant), where \(N_T\) and \(N_\bot\) are respectively invariant and anti-invariant submanifolds of the Lorentzian Sasakian manifold,
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Advances in Difference Equations, 2021 In the present paper, we find some characterization theorems. Under certain pinching conditions on the warping function satisfying some differential equation, we show that the base of warped product submanifolds of a Sasakian space form M ˜ 2 m + 1 ( ϵ )
Akram Ali +3 more
doaj +1 more source