Results 31 to 40 of about 112,777 (272)
Affine differential geometry of osculating hypersurfaces
Lietuvos Matematikos Rinkinys, 2012 Osculating surfaces of second order have been studied in classical affine differential geometry [1]. In this article we generalize this notion to osculating hypersurfaces of higher order of hypersurfaces in Euclidean n-space.
Kazimieras Navickis
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An approach to energy and elastic for curves with extended Darboux frame in Minkowski space
AIMS Mathematics, 2020 In this paper, we construct the energy for the ED-frame field of the first and second kind on an orientable hypersurface in Minkowski space. We obtain the geometric properties of some graphics by way of energy.
Talat Körpinar, Yasin Ünlütürk
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Hypersurfaces of a Sasakian manifold - revisited
Journal of Inequalities and Applications, 2021 We study orientable hypersurfaces in a Sasakian manifold. The structure vector field ξ of a Sasakian manifold determines a vector field v on a hypersurface that is the component of the Reeb vector field ξ tangential to the hypersurface, and it also gives
Sharief Deshmukh +3 more
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Extended Object Tracking with Random Hypersurface Models [PDF]
IEEE Transactions on Aerospace and Electronic Systems, 2013 The random hypersurface model (RHM) is introduced for estimating a shape approximation of an extended object in addition to its kinematic state. An RHM represents the spatial extent by means of randomly scaled versions of the shape boundary. In doing so,
M. Baum, U. Hanebeck
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Characterizing non-totally geodesic spheres in a unit sphere
AIMS Mathematics, 2023 A concircular vector field $ \mathbf{u} $ on the unit sphere $ \mathbf{S}^{n+1} $ induces a vector field $ \mathbf{w} $ on an orientable hypersurface $ M $ of the unit sphere $ \mathbf{S}^{n+1} $, simply called the induced vector field on the ...
Ibrahim Al-Dayel +2 more
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Doubly covariant action principle of singular hypersurfaces in general relativity and scalar-tensor theories [PDF]
, 2001 An action principle of singular hypersurfaces in general relativity and scalar-tensor type theories of gravity in the Einstein frame is presented without assuming any symmetry.
Mukohyama, Shinji
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The Gauss Map and the Third Laplace-Beltrami Operator of the Rotational Hypersurface in 4-Space
Symmetry, 2018 We study and examine the rotational hypersurface and its Gauss map in Euclidean four-space E 4 . We calculate the Gauss map, the mean curvature and the Gaussian curvature of the rotational hypersurface and obtain some results.
Erhan Güler +2 more
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Hypersurfaces of cohomogeneity one and hypersurfaces of revolution
Differential Geometry and its Applications, 2004 AbstractIn this paper, we study hypersurfaces f:Mn→Rn+1,n⩾3, where Mn is a G-cohomogeneity one Riemannian manifold such that the principal orbits of G are umbilical submanifolds of M. In (Ann. Global Anal. Geom. 13 (1995) 169–184), under the assumptions that n⩾4 and M is compact, the authors prove that such a hypersurface must be of revolution.
Jose Adonai Pereira Seixas +1 more
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Geodesic webs of hypersurfaces [PDF]
Doklady Mathematics, 2009 11 pages, in ...
Lychagin, Valentin V. +1 more
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