Rapidities and observable 3-velocities in the flat Finslerian event space with entirely broken 3D isotropy.
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Bogoslovsky, George Yu. (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Marek Grochowski (2008)
Banach Center Publications
We compute future timelike and nonspacelike reachable sets from the origin for a class of contact sub-Lorentzian metrics on ℝ³. Then we construct non-smooth (and therefore non-Hamiltonian) null geodesics for these metrics. As a consequence we deduce that the sub-Lorentzian distance from the origin is continuous at points belonging to the boundary of the reachable set.
Hyunjin Lee, Seonhui Kim, Young Jin Suh (2012)
Czechoslovak Mathematical Journal
In this paper, first we introduce a new notion of commuting condition that between the shape operator and the structure tensors and for real hypersurfaces in . Suprisingly, real hypersurfaces of type , that is, a tube over a totally geodesic in complex two plane Grassmannians satisfy this commuting condition. Next we consider a complete classification of Hopf hypersurfaces in satisfying the commuting condition. Finally we get a characterization of Type in terms of such commuting...
Bejancu, A., Duggal, K.L. (1993)
International Journal of Mathematics and Mathematical Sciences
P.M. Gadea, J.A. Oubina (1997)
Monatshefte für Mathematik
Gadea, P.M., Hernández Encinas, L. (1997)
Balkan Journal of Geometry and its Applications (BJGA)
Frédéric Hélein (2004)
Annales de la Faculté des sciences de Toulouse : Mathématiques
Luc Rozoy (1990/1991)
Séminaire de théorie spectrale et géométrie
Weiller F. C. Barboza, H. F. de Lima, M. A. Velásquez (2023)
Commentationes Mathematicae Universitatis Carolinae
In this paper, we deal with -dimensional complete linear Weingarten spacelike submanifolds immersed with parallel normalized mean curvature vector field and flat normal bundle in a locally symmetric semi-Riemannian space of index , which obeys some curvature constraints (such an ambient space can be regarded as an extension of a semi-Riemannian space form). Under appropriate hypothesis, we are able to prove that such a spacelike submanifold is either totally umbilical or isometric to an isoparametric...
Mohammed Guediri, Mona Bin-Asfour (2014)
Archivum Mathematicum
The purpose of this paper is to investigate Ricci-flatness of left-invariant Lorentzian metrics on 2-step nilpotent Lie groups. We first show that if is a Ricci-flat left-invariant Lorentzian metric on a 2-step nilpotent Lie group , then the restriction of to the center of the Lie algebra of is degenerate. We then characterize the 2-step nilpotent Lie groups which can be endowed with a Ricci-flat left-invariant Lorentzian metric, and we deduce from this that a Heisenberg Lie group can be...
Yoon, Dae Won (2006)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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