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- W2134356468 abstract "We give a necessary and sufficient condition for an n-dimensional Riemannian manifold to be isometrically immersed into one of the Lorentzian products 𝕊 n × ℝ 1 or ℍ n × ℝ 1 . This condition is expressed in terms of its first and second fundamental forms, the tangent and normal projections of the vertical vector field. As applications, we give an equivalent condition in a spinorial way and we deduce the existence of a one-parameter family of isometric maximal deformation of a given maximal surface obtained by rotating the shape operator." @default.
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- W2134356468 date "2011-09-01" @default.
- W2134356468 modified "2023-10-16" @default.
- W2134356468 title "ISOMETRIC IMMERSIONS INTO LORENTZIAN PRODUCTS" @default.
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- W2134356468 doi "https://doi.org/10.1142/s0219887811005695" @default.
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