Encyclopedia

characteristic manifold

characteristic manifold

[‚kar·ik·tə′ris·tik ′man·ə‚fōld]
(mathematics)
A surface used to study the problem of existence of solutions to partial differential equations.
The linear set of eigenvectors corresponding to a given eigenvalue of a linear transformation.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive
The difficulty of this problem, he says, comes from the presence of positive eigenvalues of the curvature of the line bundle and negative eigenvalues of the Levi form of the CR manifold, so that the semi-classical characteristic manifold of the operator is always degenerate at some point.
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