A surface which has a family of geodesics of curvature.

Ando, N.

Displaying similar documents to “A surface which has a family of geodesics of curvature.”

Ruled surfaces in Lorentz-Minkowski 3-spaces with non-degenerate second fundamental form.

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Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

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A characterization of Chen surfaces in $𝔼^{4}$ .

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Relations between intrinsic and extrinsic curvatures

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On a conjecture about the Gauss map of complete spacelike surfaces with constant mean curvature in the Lorentz-Minkowski space.

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On the curvatures of $(r + 1)$ -dimensional generalized time-like ruled surface.

Bektas, Mehmet (2003)

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Lines of curvature, ridges and conformal invariants of hypersurfaces.

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A method of the determination of a geodesic curve on ruled surface with time-like rulings.

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$(m + 1)$ -dimensional spacelike parallel $p_{i}$ -equidistant ruled surfaces in the Minkowski space $R_{1}^{n}$ .

Masal, Melek (2006)

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Prescribing Gauss curvature of surfaces in 3-dimensional spacetimes Application to the Minkowski problem in the Minkowski space

Thierry Barbot, François Béguin, Abdelghani Zeghib (2011)

Annales de l’institut Fourier

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We study the existence of surfaces with constant or prescribed Gauss curvature in certain Lorentzian spacetimes. We prove in particular that every (non-elementary) 3-dimensional maximal globally hyperbolic spatially compact spacetime with constant non-negative curvature is foliated by compact spacelike surfaces with constant Gauss curvature. In the constant negative curvature case, such a foliation exists outside the convex core. The existence of these foliations, together with a theorem...