On 3-dimensional Lie algebras of vector fields
Alois Švec (1975)
Czechoslovak Mathematical Journal
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Alois Švec (1975)
Czechoslovak Mathematical Journal
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Ryszard Deszcz, Mike Scherfner (2007)
Colloquium Mathematicae
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We prove that every generalized Cartan hypersurface satisfies the so called Roter type equation. Using this fact, we construct a particular class of generalized Robertson-Walker spacetimes.
B. B. Sinha, R. Sharma (1980)
Matematički Vesnik
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Peter Ebenfelt (1997)
Journées équations aux dérivées partielles
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Seon Mi Lyu, Juan de Dios Pérez, Young Jin Suh (2007)
Czechoslovak Mathematical Journal
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This paper consists of two parts. In the first, we find some geometric conditions derived from the local symmetry of the inverse image by the Hopf fibration of a real hypersurface in complex space form . In the second, we give a complete classification of real hypersurfaces in which satisfy the above geometric facts.