Ukrainian Mathematical Journal

, Volume 53, Issue 3, pp 338–343 | Cite as

On the Manifolds of Eigenvectors of Linear and Quasilinear Finite-Dimensional Self-Adjoint Operators. II

  • Ya. M. Dymarskii


We investigate the manifold of normalized eigenvectors of self-adjoint operators. We present the homotopic classification of typical quasilinear eigenvector problems based on the properties of this manifold.


Homotopic Classification Eigenvector Problem 
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  1. 19.
    Ya. M. Dymarskii, “On the manifolds of eigenvectors of linear and quasilinear finite-dimensional self-adjoint operators. I,” Ukr. Mat. Zh. 53, No. 2, 156–167 (2001).Google Scholar
  2. 20.
    A. S. Mishchenko, Yu. P. Solov'ev, and A. T. Fomenko, Differential Geometry and Topology Problem Book [in Russian], Moscow University, Moscow (1981).Google Scholar

Copyright information

© Plenum Publishing Corporation 2001

Authors and Affiliations

  • Ya. M. Dymarskii
    • 1
  1. 1.Lugansk Pedagogic UniversityLugansk

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