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

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Abstract

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.

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REFERENCES

  1. 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).

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  2. A. S. Mishchenko, Yu. P. Solov'ev, and A. T. Fomenko, Differential Geometry and Topology Problem Book [in Russian], Moscow University, Moscow (1981).

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  1. Lugansk Pedagogic University, Lugansk

    Ya. M. Dymarskii

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  1. Ya. M. Dymarskii
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Dymarskii, Y.M. On the Manifolds of Eigenvectors of Linear and Quasilinear Finite-Dimensional Self-Adjoint Operators. II. Ukrainian Mathematical Journal 53, 338–343 (2001). https://doi.org/10.1023/A:1012379918752

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  • DOI: https://doi.org/10.1023/A:1012379918752

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