On local isometric immersions into complex and quaternionic projective spaces

Hans Jakob Rivertz

Displaying similar documents to “On local isometric immersions into complex and quaternionic projective spaces”

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

Ze-Jun Hu (1999)

Colloquium Mathematicae

Similarity:

We transform the problem of determining isometric immersions from $H^{n} (- 1)$ into $H^{n + 1} (- 1)$ into that of solving equations of degenerate Monge-Ampère type on the unit ball $B^{n} (1)$ . By presenting one family of special solutions to the equations, we obtain a great many noncongruent examples of such isometric immersions with or without umbilic set.

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

Yingbo Han (2010)

Archivum Mathematicum

Similarity:

In this paper, we get an intrinsic inequality for spacelike submanifolds in indefinite space form $M_{p}^{n + p} (c)$ , $(c > 0)$ . We also get some rigidity theorems for such spacelike submanifolds.

Rigidity of Rank-One Factors of Compact Symmetric Spaces

Andrew Clarke (2011)

Annales de l’institut Fourier

Similarity:

We consider the decomposition of a compact-type symmetric space into a product of factors and show that the rank-one factors, when considered as totally geodesic submanifolds of the space, are isolated from inequivalent minimal submanifolds.

Multi-helicoidal Euclidean submanifolds of constant sectional curvature.

Ripoll, Jaime, Tojeiro, Ruy (2001)

Beiträge zur Algebra und Geometrie

Similarity:

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

Deborah Olayide A. Ajayi (2010)

Kragujevac Journal of Mathematics

Similarity:

Displaying similar documents to “On local isometric immersions into complex and quaternionic projective spaces”

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 )

Rigidity of Rank-One Factors of Compact Symmetric Spaces

Multi-helicoidal Euclidean submanifolds of constant sectional curvature.

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

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 $ℝ F (1, 1, 1, n - 3)$