Results 11 to 20 of about 94,727 (290)
Minimal translation graphs in semi-Euclidean space
AIMS Mathematics, 2021 <abstract><p>In this paper we study a characterization of minimal translation graphs which are generalization of minimal translation hypersurfaces in semi-Euclidean space.</p></abstract>
Sağlam, Derya
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Evolution of quaternionic curve in the semi‐Euclidean space E24 [PDF]
Mathematical Methods in the Applied Sciences, 2020 In this paper, kinematics of semi‐real quaternionic curve in semi‐Euclidean space is obtained in terms of its curvature functions. The evolution equation of Frenet frame and curvatures of quaternionic curve are obtained. Also, examples of evolution equations of curvatures are given.
Alperen Kızılay +2 more
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On Involute-Evolute Curve Pair in Semi-Euclidean Space
Turkish Journal of Mathematics and Computer Science, 2021 In this study, a kind of generalized involute and evolute curve pair is considered in 4 dimensional semi Euclidean space with 2 index. The curvatures and the associated Frenet Frame of this kind of generalized involute-evolute curve pair are presented.
Tuba AĞIRMAN AYDIN +1 more
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Polynomial helices in the n-dimensional semi-Euclidean space with index two [PDF]
Filomat, 2020 In this article, we investigate polynomial helices in the n-dimensional semi-Euclidean space with index two for n ? 4. We obtain some families of spacelike and timelike polynomial helices. These helices have spacelike or timelike or null axes.
Altınbaş, Hasan +2 more
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On Parallelizable Spheres in Semi Euclidean Space
, 2020 In Euclidean space, there exist four theorems which show that S-n sphere is not parallelizable for n not equal 1, 3, 7. While three of them are shown by using Bott theorem, the last one is shown by using Hurwitz-Radon numbers. In this paper, a theorem and the proof of this theorem about parallelization of spheres in semi-Euclidean space is given. It is
Durmaz, Olgun +2 more
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Beltrami-Meusnier formulas of generalized semi ruled surfaces in semi Euclidean space
Kuwait Journal of Science, 2014 In this paper, we study the sectional curvatures of the generalized semi ruled surfaces in semi Euclidean space The first fundamental form and the metric coefficients of the generalized semi ruled surfaces are calculated and in these regards ...
MAHMUT AKYIG١IT +2 more
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Twisted Surfaces in Semi-Euclidean $4$-Space with Index $2$
International Electronic Journal of GeometryIn this paper, we consider the twisted surfaces in semi-Euclidean 4-space with index 2.We classify the twisted surface with respect to their spine curve which are non-null or null curves. So, we study the geometric properties of these surfaces. Also we obtain the family of some special surfaces such as flat surfaces, marginally trapped surfaces.
Ali Uçum +2 more
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A d-dimensional analyst's Travelling Salesman theorem for arbitrary sets in Euclidean space [PDF]
, 2021 In this thesis, we discuss recent progress on higher dimensional analogues to the Analyst’s Travelling Salesman Theorem (TST) of Peter Jones. The TST characterizes subsets of rectifiable curves in the plane, via a multiscale sum of β-numbers.
Hyde, Matthew
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Minimal homogeneous submanifolds in euclidean spaces [PDF]
, 2002 We prove that minimal (extrinsically) homogeneous submanifolds of the Euclidean space are totally geodesic. As an application, we obtain that a complex (intrisecally) homogeneous submanifold of a complex Euclidean space must be totally ...
Di Scala, Antonio Jose'
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Special Smarandache Curves in the Euclidean Space [PDF]
, 2010 In this work, we introduce some special Smarandache curves in the Euclidean space. We study Frenet-Serret invariants of a special case.
Ali, Ahmad
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