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Rigidity and bifurcation results for CMC hypersurfaces in warped product spaces

In this paper, we deduce some rigidity results in warped product spaces under normal variations of CMC hypersurfaces. In particular, we prove the existence of one-parameter families locally rigid on the spatial fiber of Anti-de Sitter Schwarzschild spacetime and one-parameter families with bifurcation points on the spatial fiber of de Sitter Schwarzschild spacetime.

preprint2014arXivOpen access
Sandra C. García-MartínezJ. Herrera
math.DG
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Open access2 authors1 topic
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Sandra C. García-MartínezJ. Herrera

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