# The conformal metric structure of Geometrothermodynamics

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In this paper we consider symmetry transformations that preserve the first law and the second law of thermodynamics, as well as the pseudo-Riemannian structure of the Legendre manifold defined in terms of the second derivative matrix of the entropy function in extended irreversible...

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The problem of a thin spherical linearly elastic shell perfectly bonded to an infinite linearly elastic medium is considered. A constant axisymmetric stress field is applied at infinity in the matrix, and the displacement and stress fields in the shell and matrix are evaluated by means of...

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Functions on a sphere with zero weighted means over all geodesic balls of a fixed radius are studied. We obtain a description of such functions in the form of series in special functions.