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Isometric pluriharmonic immersions of Kahler manifolds into semi-Euclidean spaces
Isometric pluriharmonic immersions of Kahler manifolds into semi-Euclidean spacesopenaire
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On biharmonic hypersurfaces in semi-Euclidean spaces
AIP Conference Proceedings, 20186th International Eurasian Conference on Mathematical Sciences and Applications (IECMSA) -- AUG 15-17, 2017 -- Budapest ...
Sevinc, Sibel +2 more
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On Joachimsthal’s theorems in semi-Euclidean spaces
Nonlinear Analysis: Theory, Methods & Applications, 2009The authors obtain a relation between the curvatures of the strips in semi-Euclidean space \(E^{n}_{\nu}\) in a matrix form depending on a semi-orthogonal matrix. By using this matrix equation they give a generalization of the Joachimstal theorem in Minkowski 3-space \(E^{3}_{1}\).
GÖRGÜLÜ, ALİ, Coken, A. Ceylan
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On the Biconservative Quasi-Minimal Immersions into Semi-Euclidean Spaces
Mediterranean Journal of Mathematics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yeğgin Şen, Rüya +3 more
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ON PSEUDOSYMMETRY TYPE HYPERSURFACES OF SEMI-EUCLIDEAN SPACES I
Acta Mathematica Scientia, 2002Let \(M\) be a semi-Riemannian hypersurface of \(E^{n+1}_s\) \((n\geq 4)\) and \(g,H,R,C\) its metric, second fundamental, curvature, and Weyl conformal curvature tensor field, respectively. Let \(H^p(X,Y)= H^{p-1}(HX,Y)\) \((p=2,3, \dots)\). In this paper such \(M\) are studied, which satisfy \((\alpha C+\beta R)H= L_kQ(g,H^k)\), where \(\alpha,\beta\)
Murathan, CENGİZHAN +4 more
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Split quaternions and semi-Euclidean projective spaces
Chaos, Solitons & Fractals, 2009Abstract In this study, we give one-to-one correspondence between the elements of the unit split three-sphere S ( 3 , 2 ) with the complex hyperbolic special unitary matrices SU ( 2 , 1 ) . Thus, we express spherical concepts such as meridians of longitude and parallels of latitude on SU ( 2 , 1 ) by using the ...
Ata, Erhan, Yaylı, Yusuf
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Curvature for curves in semi-Euclidean spaces
Journal of Geometry, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fukui, Toshizumi, Pei, Donghe
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Evolution of quaternionic curve in the semi‐Euclidean space E24
Mathematical Methods in the Applied Sciences, 2020In 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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Curves in Affine and Semi-Euclidean Spaces
Results in Mathematics, 2013The author introduces the centroaffine invariants for curves in the centroaffine 2-dimensional and 3-dimensional spaces. Like in the Euclidean case such curves are determined by 1 curvature function in the 2-dimensional case, and 2 curvature functions in the 3-dimensional case.
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TIMELIKE HELICES IN THE SEMI-EUCLIDEAN SPACE E24
2022In this paper, we define timelike curves in R-2(4) and characterize such curves in terms of Frenet frame. Also, we examine the timelike helices of R-2(4), taking into account their curvatures. In addition, we study timelike slant helices, timelike B-1-slant helices, timelike B-2-slant helices in four dimensional semi-Euclidean space, R-2(4).
Aydin, Tuba Agirman +2 more
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