The Cauchy problem for Lorentz metrics with prescribed Ricci curvature
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The characterization of the spherical timelike curves in 3-dimensional Lorentzian space.
Bektas, Mehmet, Ergüt, Mahmut, Soylu, Dursun (1998)
Bulletin of the Malaysian Mathematical Society. Second Series
The Clairaut's theorem on rotational surfaces in pseudo-Euclidean 4-space with index 2
Fatma Almaz, Mihriban A. Külahci (2024)
Commentationes Mathematicae Universitatis Carolinae
Clairaut’s theorem is expressed on the surfaces of rotation in semi Euclidean 4-space. Moreover, the general equations of time-like geodesic curves are characterized according to the results of Clairaut's theorem on the hyperbolic surfaces of rotation and the elliptic surface of rotation, respectively.
The Euler theorem and Dupin indicatrix for surfaces at a constant distance from edge of regression on a surface in
Derya Sağlam, Özgür Boyacıoğlu Kalkan (2013)
Matematički Vesnik
The first eigenvalue of spacelike submanifolds in indefinite space form
Yingbo Han, Shuxiang Feng (2011)
Archivum Mathematicum
In this paper, we prove that the first eigenvalue of a complete spacelike submanifold in with the bounded Gauss map must be zero.
The First Order PDE System for Type III Osserman Manifolds
Novica Blažić, Neda Bokan, Zoran Rakić (1997)
Publications de l'Institut Mathématique
The Gauss map of a spacelike constant mean curvature hypersurface of Minkowski space.
Bennett Palmer (1990)
Commentarii mathematici Helvetici
The Gauss-Bonnet theorem for Cayley-Klein geometries of dimension two.
McRae, Alan S. (2006)
The New York Journal of Mathematics [electronic only]
The geometrical interpretation of temporal cone norm in almost Minkowski manifold.
Noaghi, Sorin (2003)
Balkan Journal of Geometry and its Applications (BJGA)
The Group of Invertible Elements of the Algebra of Quaternions
Irina A. Kuzmina, Marie Chodorová (2016)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
We have, that all two-dimensional subspaces of the algebra of quaternions, containing a unit, are 2-dimensional subalgebras isomorphic to the algebra of complex numbers. It was proved in the papers of N. E. Belova. In the present article we consider a 2-dimensional subalgebra of complex numbers with basis and we construct the principal locally trivial bundle which is isomorphic to the Hopf fibration.
The isotropic 3-sphere.
Vogel, Walter O. (1995)
Mathematica Pannonica
The local structure of essentially conformally symmetric manifolds with constant fundamental function II. The hyperbolic case
A. Derdziński (1981)
Colloquium Mathematicae
The local structure of essentially conformally symmetric manifolds with constant fundamental function I. The elliptic case
A. Derdziński (1979)
Colloquium Mathematicae
The local structure of essentially conformally symmetric manifolds with constant fundamental function. III. The parabolic case
A. Derdziński (1981)
Colloquium Mathematicae
The metrics of a twodimensional space with geodesics represented by a linear equation
M. D. Leko (1975)
Matematički Vesnik
The nonexistence of rank 4 IP tensors in signature .
Pearson, Kelly Jeanne, Zhang, Tan (2002)
International Journal of Mathematics and Mathematical Sciences
The Plane-Time in Which Paths of Inertional Motions Are Conics
Marko D. Leko (1984)
Zbornik Radova
The Projectivization of Conformal Models of Fibrations Determined by the Algebra of Quaternions
Irina A. Kuzmina, Josef Mikeš, Alena Vanžurová (2011)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
Our aim is to study the principal bundles determined by the algebra of quaternions in the projective model. The projectivization of the conformal model of the Hopf fibration is considered as example.
The structure of reachable sets for affine control systems induced by generalized Martinet sub-lorentzian metrics
Marek Grochowski (2012)
ESAIM: Control, Optimisation and Calculus of Variations
In this paper we investigate analytic affine control systems q̇ = X + uY, u ∈ [a,b] , where X,Y is an orthonormal frame for a generalized Martinet sub-Lorentzian structure of order k of Hamiltonian type. We construct normal forms for such systems and, among other things, we study the connection between the presence of the singular trajectory starting at q0 on the boundary of the reachable set from q0 with the minimal number of analytic functions needed for describing the reachable set from q0.
Theorems concerning certain special tensor fields on Riemannian manifolds and their applications.
Konopka, Czesław (1993)
Publications de l'Institut Mathématique. Nouvelle Série
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