Results 31 to 40 of about 1,215 (136)
Totally Umbilical Hemi‐Slant Submanifolds of Kaehler Manifolds [PDF]
Abstract and Applied Analysis, 2011 We study totally umbilical hemi‐slant submanifolds of a Kaehler manifold via curvature tensor. We prove some classification theorems for totally umbilical hemi‐slant submanifolds of a Kaehler manifold and give an example.
Falleh R. Al-Solamy +2 more
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A General Inequality for CR‐Warped Products in Generalized Sasakian Space Form and Its Applications
Advances in Mathematical Physics, Volume 2021, Issue 1, 2021., 2021 In the present paper, by considering the Gauss equation in place of the Codazzi equation, we derive new optimal inequality for the second fundamental form of CR‐warped product submanifolds into a generalized Sasakian space form. Moreover, the inequality generalizes some inequalities for various ambient space forms.
Yanlin Li +3 more
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Geometric Mechanics on Warped Product Semi‐Slant Submanifold of Generalized Complex Space Forms
Advances in Mathematical Physics, Volume 2021, Issue 1, 2021., 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. There are several applications that can be developed from this.
Yanlin Li +3 more
wiley +1 more source
Characterizing Inequalities for Biwarped Product Submanifolds of Sasakian Space Forms
Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021 The biwarped product submanifolds generalize the class of product submanifolds and are particular case of multiply warped product submanifolds. The present paper studies the biwarped product submanifolds of the type ST×ψ1S⊥×ψ2Sθ in Sasakian space forms S¯c, where ST, S⊥, and Sθ are the invariant, anti‐invariant, and pointwise slant submanifolds of S¯c.
Meraj Ali Khan +2 more
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Totally umbilical CR-submanifolds of a Kaehler manifold [PDF]
Kodai Mathematical Journal, 1986 It was proved [see the reviewer, Geometry of CR-submanifolds (1986; Zbl 0605.53001); Theorem 2.1, p. 43] that a totally umbilical CR-submanifold M of a Kaehler manifold N is either totally geodesic or totally real, or dim \(D^{\perp}=1\). In the last case, \textit{T. Toyonari} and \textit{H. Nemoto} [TRU Math.
Sharief Deshmukh, Shamshad Husain
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On a property of W4 -manifolds
Дифференциальная геометрия многообразий фигур, 2020 The properties of almost Hermitian manifolds belonging to the Gray — Hervella class W4 are considered. The almost Hermitian manifolds of this class were studied by such outstanding geometers like Alfred Gray, Izu Vaisman, and Vadim Feodorovich Kirichenko.
M.B. Banaru
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On totally umbilic submanifolds of semi-Riemannian manifolds [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2005 The notion of being totally umbilic is considered for non-degenerate and degenerate submanifolds of semi-Riemanian manifolds. After some remarks on the general case, timelike and lightlike totally umbilic submanifolds of Lorentzian manifolds are discussed, along with their physical interpretation in view of general relativity.
Volker Perlick
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Totally umbilical proper slant submanifolds of para-Kenmotsu manifold
Cubo, 2019 In this paper, we study slant submanifolds of a para-Kenmotsu manifold. We prove that totally umbilical slant submanifold of a para-Kenmotsu manifold is either invariant or anti-invariant or dimension of submanifold is 1 or the mean curvature vector H of
M.S. Siddesha, C.S. Bagewadi, D. Nirmala
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Stability of submanifolds with parallel mean curvature in calibrated manifolds [PDF]
, 2010 On a Riemannian manifold $\bar{M}^{m+n}$ with an $(m+1)$-calibration $\Omega$, we prove that an $m$-submanifold $M$ with constant mean curvature $H$ and calibrated extended tangent space $\mathbb{R}H\oplus TM$ is a critical point of the area functional ...
Salavessa, Isabel M. C.
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Screen Cauchy–Riemann (SCR)-lightlike submanifolds of metallic semi-Riemannian manifolds [PDF]
Arab Journal of Mathematical SciencesPurposeThe screen Cauchy–Riemann (SCR)-lightlike submanifold is an important class of submanifolds of semi-Riemannian manifolds. It contains various other classes of submanifolds as its sub-cases. It has been studied under various ambient space.
Gauree Shanker +2 more
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