Rigidity and bifurcation results for CMC hypersurfaces in warped product spaces
classification
🧮 math.DG
keywords
bifurcationfamiliesfiberhypersurfacesone-parameterproductresultsrigidity
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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.
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