Results 21 to 30 of about 1,215 (136)
On totally umbilical submanifolds in nearly Kählerian manifolds [PDF]
Annales Polonici Mathematici, 1989 The author studies various properties of totally umbilic generic or CR- submanifolds of a Kaehler or nearly Kaehler manifold.
Barbara Opozda
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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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A Variational Problem and Classification Theorem for Extremal Hypersurfaces in the Space Form
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 The classification of the isoparametric extremal hypersurfaces in the space form is obtained in this paper. We also derived the Euler‐Lagrange equation for extremal hypersurface and obtained Simons’ type integral inequality. When the integral equality holds, we can obtain the characteristics of isoparametric extremal hypersurfaces by using this ...
Yu-Chung Chang, Efthymios G. Tsionas
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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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TOTALLY UMBILICAL CR-SUBMANIFOLDS OF A NEARLY KAEHLER MANIFOLD
Tamkang Journal of Mathematics, 1996 The geometry of a CR-submanifold in a Kaehler manifold has been extensively studied. B.Y . Chen has classified the totally umbilical CR-submanifolds of a Kaehler manifold and showed that they are either totally geodesic, or totally real or dim$(D^{\perp}) =1$. In this paper we show that such a result is also true in a nearly Kaehler manifold.
S. H. Kon, Sin-Leng Tan
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Chen‐Ricci Inequalities with a Quarter Symmetric Connection in Generalized Space Forms
Advances in Mathematical Physics, Volume 2021, Issue 1, 2021., 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 +4 more
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CHARACTERIZATIONS OF CONTACT PSEUDO-SLANT SUBMANIFOLDS OF A PARA-KENMOTSU MANIFOLD
Journal of Amasya University the Institute of Sciences and Technology, 2022 In this paper, the geometry of contact pseudo-slant submanifolds of a para Kenmotsu manifoldhowe been studied. The necessary and sufficient conditions for a submanifolds to be a contact pseudoslantsubmanifolds of a para Kenmotsu manifold are given.
Ümit Yıldırım, Süleyman Dirik
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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
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A Discrete Representation of the Second Fundamental Form
Mathematics, 2022 We present a new method to obtain a combinatorial representation for the behaviour of a submanifold isometrically immersed in a Riemannian manifold based on the second fundamental form.
Alfonso Carriazo +2 more
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A Study of Doubly Warped Product Immersions in a Nearly Trans‐Sasakian Manifold with Slant Factor
Advances in Mathematical Physics, Volume 2021, Issue 1, 2021., 2021 In this article, we discuss the de Rham cohomology class for bislant submanifolds in nearly trans‐Sasakian manifolds. Moreover, we give a classification of warped product bislant submanifolds in nearly trans‐Sasakian manifolds with some nontrivial examples in the support.
Ali H. Alkhaldi +4 more
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