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Inverse Problems for Semilinear Wave Equations on Lorentzian Manifolds
, 2016We consider inverse problems in space–time (M, g), a 4-dimensional Lorentzian manifold. For semilinear wave equations $${\square_g u + H(x, u) = f}$$□gu+H(x,u)=f, where $${\square_g}$$□g denotes the usual Laplace–Beltrami operator, we prove that the ...
M. Lassas, G. Uhlmann, Yiran Wang
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Quantum Ergodic Restriction Theorems: Manifolds Without Boundary
, 2011We prove that if (M, g) is a compact Riemannian manifold with ergodic geodesic flow, and if $${H \subset M}$$ is a smooth hypersurface satisfying a generic microlocal asymmetry condition, then restrictions $${\varphi_j |_H}$$ of an orthonormal basis $${\{
J. Toth, S. Zelditch
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Sub-Laplacians on Sub-Riemannian Manifolds
, 2014We consider different sub-Laplacians on a sub-Riemannian manifold M. Namely, we compare different natural choices for such operators, and give conditions under which they coincide.
M. Gordina, T. Laetsch
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Towards a Classification of Almost Complex and Spin^h Manifolds
We show that all homotopy CP^ns, smooth closed manifolds with the oriented homotopy type of CP^n, admit almost complex structures for 3 ≤ n ≤ 6, and classify these structures by their Chern classes for n=4, 6. Our methods provide a new proof of a result of Libgober and Wood on the classification of almost complex structures on homotopy CP^4s.openaire +2 more sources
On
Martin Bohner +3 more
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Kenmotsu statistical manifolds and warped product
, 2017H. Furuhata +3 more
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Submanifold Theory in Holomorphic Statistical Manifolds
, 2016H. Furuhata, I. Hasegawa
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Magnetic Curves in Cosymplectic Manifolds
, 2016S. Druţă-Romaniuc +3 more
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