Results 31 to 40 of about 63,840 (247)
Weakly reflective submanifolds and austere submanifolds
Journal of the Mathematical Society of Japan, 2009 30 ...
IKAWA, Osamu +2 more
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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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Willmore Submanifolds in a sphere [PDF]
Mathematical Research Letters, 2002 Let $x:M\to S^{n+p}$ be an $n$-dimensional submanifold in an $(n+p)$-dimensional unit sphere $S^{n+p}$, $x:M\to S^{n+p}$ is called a Willmore submanifold to the following Willmore functional: $$ \int_M(S-nH^2)^{\frac{n}{2}}dv, $$ where $S=\sum\limits_{α,i,j}(h^α_{ij})^2$ is the square of the length of the second fundamental form, $H$ is the mean ...
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Conformal submanifolds, distinguished submanifolds, and integrability
, 2023 For conformal geometries of Riemannian signature, we provide a comprehensive and explicit treatment of the core local theory for embedded submanifolds of arbitrary dimension. This is based in the conformal tractor calculus and includes a conformally invariant Gauss formula leading to conformal versions of the Gauss, Codazzi, and Ricci equations.
Curry, Sean. N +2 more
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Characterization of Lagrangian Submanifolds by Geometric Inequalities in Complex Space Forms
Advances in Mathematical Physics, 2021 In this paper, we give an estimate of the first eigenvalue of the Laplace operator on a Lagrangian submanifold Mn minimally immersed in a complex space form.
Lamia Saeed Alqahtani
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Mean curvature flow of pinched submanifolds of $\mathbb{CP}^n$
, 2016 We consider the evolution by mean curvature flow of a closed submanifold of the complex projective space. We show that, if the submanifold has small codimension and satisfies a suitable pinching condition on the second fundamental form, then the ...
Pipoli, Giuseppe, Sinestrari, Carlo
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On six-dimensional AH-submanifolds of class W1⊕W2⊕W4 in Cayley algebra
Дифференциальная геометрия многообразий фигур, 2020 Six-dimensional submanifolds of Cayley algebra equipped with an almost Hermitian structure of class W1 W2 W4 defined by means of three-fold vector cross products are considered.
G. A. Banaru
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Pointwise Hemislant Submanifolds in a Complex Space Form
Journal of Mathematics, 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.
Noura Alhouiti
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The mean curvature flow for isoparametric submanifolds
, 2019 A submanifold in space forms is isoparametric if the normal bundle is flat and principal curvatures along any parallel normal fields are constant. We study the mean curvature flow with initial data an isoparametric submanifold in Euclidean space and ...
Liu, Xiaobo, Terng, Chuu-Lian
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Conformai deformation of a close Riemannian submanifold to minimal submanifold
Chinese Science Bulletin, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xu, Senlin, Xia, Qinglan
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