Isometric immersions of the hyperbolic space $H^n(-1)$ into $H^{n+1}(-1)$

Ze-Jun Hu

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Displaying similar documents to “Isometric immersions of the hyperbolic space $H^{n} (- 1)$ into $H^{n + 1} (- 1)$ ”

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We will prove that if an open subset of $ℂ P^{n}$ is isometrically immersed into $ℂ P^{m}$ , with $m < (4 / 3) n - 2 / 3$ , then the image is totally geodesic. We will also prove that if an open subset of $ℍ P^{n}$ isometrically immersed into $ℍ P^{m}$ , with $m < (4 / 3) n - 5 / 6$ , then the image is totally geodesic.

Complete space-like submanifolds in de Sitter space.

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Yingbo Han (2010)

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Nonimmersion results for the real flag manifolds $ℝ F (1, 1, 1, n - 3)$

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Displaying similar documents to “Isometric immersions of the hyperbolic space H n ( - 1 ) into H n + 1 ( - 1 ) ”

On local isometric immersions into complex and quaternionic projective spaces

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Nonimmersion results for the real flag manifolds ℝ F ( 1 , 1 , 1 , n - 3 )

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On some analytical manifolds of constant sectional curvature.

Displaying similar documents to “Isometric immersions of the hyperbolic space $H^{n} (- 1)$ into $H^{n + 1} (- 1)$ ”

Spacelike submanifolds in indefinite space form $M_{p}^{n + p} (c)$

Nonimmersion results for the real flag manifolds $ℝ F (1, 1, 1, n - 3)$