We study the geometry of the set of closed extensions of index $0$ of an elliptic differential cone operator and its model operator in connection with the spectra of the extensions, and we give a necessary and sufficient condition for the existence of rays of minimal growth for such operators.

Keywords:

resolvents, manifolds with conical singularities, spectral theor, boundary value problems, Grassmannians resolvents, manifolds with conical singularities, spectral theor, boundary value problems, Grassmannians

MSC Classifications:

58J50, 35J70, 14M15 show english descriptions Spectral problems; spectral geometry; scattering theory [See also 35Pxx]
Degenerate elliptic equations
Grassmannians, Schubert varieties, flag manifolds [See also 32M10, 51M35] 58J50 - Spectral problems; spectral geometry; scattering theory [See also 35Pxx]
35J70 - Degenerate elliptic equations
14M15 - Grassmannians, Schubert varieties, flag manifolds [See also 32M10, 51M35]

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