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

Yingbo Han — 2010

Archivum Mathematicum

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.

The first eigenvalue of spacelike submanifolds in indefinite space form $R_{p}^{n + p}$

Yingbo Han; Shuxiang Feng — 2011

Archivum Mathematicum

In this paper, we prove that the first eigenvalue of a complete spacelike submanifold in $R_{p}^{n + p}$ with the bounded Gauss map must be zero.

A Liouville type theorem for $p$ -harmonic functions on minimal submanifolds in $ℝ^{n + m}$

Yingbo Han; Shuxiang Feng — 2013

Matematički Vesnik

On complete spacelike hypersurfaces with $R = a H + b$ in locally symmetric Lorentz spaces

Yingbo Han; Shuxiang Feng; Liju Yu — 2011

Archivum Mathematicum

In this note, we investigate $n$ -dimensional spacelike hypersurfaces $M^{n}$ with $R = a H + b$ in locally symmetric Lorentz space. Two rigidity theorems are obtained for these spacelike hypersurfaces.

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Currently displaying 1 – 4 of 4

Spacelike submanifolds in indefinite space form M p n + p ( c )

The first eigenvalue of spacelike submanifolds in indefinite space form R p n + p

A Liouville type theorem for p -harmonic functions on minimal submanifolds in ℝ n + m

On complete spacelike hypersurfaces with R = a H + b in locally symmetric Lorentz spaces

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

The first eigenvalue of spacelike submanifolds in indefinite space form $R_{p}^{n + p}$

A Liouville type theorem for $p$ -harmonic functions on minimal submanifolds in $ℝ^{n + m}$

On complete spacelike hypersurfaces with $R = a H + b$ in locally symmetric Lorentz spaces