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- W2924879594 abstract "There are very few general theorems on the kernel of the well-known Lichnerowicz Laplacian. In the present article we consider the geometry of the kernel of this operator restricted to covariant (not necessarily symmetric or skew-symmetric) tensors. Our approach is based on the analytical method, due to Bochner, of proving vanishing theorems for the null space of Laplace operator. In particular, we pay special attention to the kernel of the Lichnerowicz Laplacian on Riemannian symmetric spaces of compact and noncompact types. In conclusion, we give some applications to the theories of infinitesimal Einstein deformations and the stability of Einstein manifolds." @default.
- W2924879594 created "2019-04-01" @default.
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- W2924879594 date "2019-03-25" @default.
- W2924879594 modified "2023-09-27" @default.
- W2924879594 title "Geometry in the large of the kernel of Lichnerowicz Laplacians and its applications" @default.
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