Results 31 to 40 of about 7,649 (232)
Super parallel immersions in Euclidean space
Two submanifolds of Euclidean n-space En are called super parallel if the affine normal spaces are homothetic at the corresponding points. Characterizations are given for the action of conformal transformation on super parallel mates.
Tarek Fathy Mersal +1 more
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We provide an introduction to the theory of calibrated submanifolds through the key examples related with special holonomy. We focus on calibrated geometry in Calabi-Yau, G$_2$ and Spin(7) manifolds, and describe fundamental results and techniques in the field.
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Ideal CR submanifolds in non-flat complex space forms [PDF]
summary:An explicit representation for ideal CR submanifolds of a complex hyperbolic space has been derived in T. Sasahara (2002). We simplify and reformulate the representation in terms of certain Kähler submanifolds.
Sasahara, Toru
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Slant and Semi-Slant Submanifolds in Metallic Riemannian Manifolds
The aim of our paper is to focus on some properties of slant and semi-slant submanifolds of metallic Riemannian manifolds. We give some characterizations for submanifolds to be slant or semi-slant submanifolds in metallic or Golden Riemannian manifolds ...
Cristina E. Hretcanu, Adara M. Blaga
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Transcendental submanifolds of Rn
5 pages, 1 ...
Akbulut, S., King, H.
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Bounds for Statistical Curvatures of Submanifolds in Kenmotsu-like Statistical Manifolds
In this article, we obtain certain bounds for statistical curvatures of submanifolds with any codimension of Kenmotsu-like statistical manifolds. In this context, we construct a class of optimum inequalities for submanifolds in Kenmotsu-like statistical ...
Aliya Naaz Siddiqui +2 more
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Special Half Lightlike Submanifolds of an Indefinite Cosymplectic Manifold
We study the geometry of half lightlike submanifolds 𝑀 of an indefinite cosymplectic manifold 𝑀. First, we construct two types of half lightlike submanifolds according to the form of the structure vector field of 𝑀, named by tangential and ascreen half ...
Dae Ho Jin
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Willmore Submanifolds in a sphere [PDF]
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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A Study of Doubly Warped Product Immersions in a Nearly Trans-Sasakian Manifold with Slant Factor
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 ...
Ali H. Alkhaldi +3 more
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Conformai deformation of a close Riemannian submanifold to minimal submanifold
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xu, Senlin, Xia, Qinglan
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