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Warped product rigidity - MaRDI portal

Warped product rigidity (Q2339797)

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Warped product rigidity
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    Warped product rigidity (English)
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    8 April 2015
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    The authors study the space of solutions of a Hessian equation on a Riemannian manifold. They show that in the case where the dimension of this space is larger than one, the Riemannian manifold must be isometric to a certain warped product. Related rigidity and uniqueness results are given.
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    warped product
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    Ricci curvature
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    Hessian equations
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    overdetermined linear system of differential equations
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