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Antipodal sets of pseudo-Riemannian symmetric R-spaces
Differential Geometry and its ApplicationsLet \(M\) be a (pseudo)-Riemannian symmetric space and denote by \(s_{p}\) the symmetry at \(p\in M\). A subset \(S \subset M\) is called an antipodal set of \(M\) if \(s_p(q) = q\) holds for every \(p, q \in S\). This paper studies antipodal sets of two kinds of pseudo-Riemannian symmetric spaces: para-Hermitian symmetric spaces and pseudo-Riemannian ...
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Polyharmonic hypersurfaces into pseudo-Riemannian space forms
Annali Di Matematica Pura Ed Applicata, 2022S Montaldo +2 more
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Pseudo-Riemannian spaces with semi-reducible metrics
AIP Conference Proceedings, 2022Yu. Fedchenko +2 more
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A pseudo-group of motions of a certain pseudo-Riemannian space
1983The author considers the manifold \({\mathbb{R}}_+^ 3=\{(x^ 1,x^ 2,x^ 3)\in {\mathbb{R}}^ 3 | \quad x^ 3>0)\}\) with pseudo-Riemannian metric \(ds^ 2=\frac{1}{(x^ 3)^ 2}[(dx^ 3)^ 2-(dx^ 2)^ 2-(dx^ 1)^ 2]\) and determines the Killing vector fields and their Lie algebra. In the second part he gives a model using the ring of antiquaternions.
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Hypersurfaces Satisfying τ 2 (ϕ) = ητ(ϕ) in Pseudo-Riemannian Space Forms
Mathematical Physics Analysis and Geometry, 2017Li Du, Xun Xie
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Totally umbilical submanifolds in pseudo-Riemannian space forms
Tsukuba Journal of Mathematics, 2021exaly
Pseudo-Riemannian manifolds modelled on symmetric spaces
Monatshefte Fur Mathematik, 2010Zdenek Dusek +2 more
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Geometry of position functions of Riemannian submanifolds in pseudo-Euclidean space
Journal of Geometry, 2002Bang-Yen Chen, Chen Bang-Yen
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