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Inverse Problems for Semilinear Wave Equations on Lorentzian Manifolds

, 2016
We 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, Yi-Ran Wang
semanticscholar   +1 more source

Sub-Laplacians on Sub-Riemannian Manifolds

, 2014
We 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
semanticscholar   +1 more source

Skein Modules of 3-Manifolds

, 2006
It is natural to try to place the new polynomial invariants of links in algebraic topology (e.g. to try to interpret them using homology or homotopy groups).
Rhea Palak Bakshi, J. Przytycki, H. Wong
semanticscholar   +1 more source

IMBEDDING OF MANIFOLDS IN EUCLIDEAN SPACE

, 1961
R. Penrose   +2 more
semanticscholar   +1 more source

Empirical low-dimensional manifolds in composition space

, 2012
Yue Yang, S. Pope, Jacqueline H. Chen
semanticscholar   +1 more source

Energy-minimizing splines in manifolds

ACM Transactions on Graphics, 2004
Michael Hofer, H. Pottmann
semanticscholar   +1 more source

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