Harmonic parametrization of geodesic quadrangles on surfaces of constant curvature and 2-D quasi-isometric grids.

Chumakov, Gennadij; Chumakov, Sergei G.

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Erratum for "Non singular Hamiltonian systems and geodesic flows on surfaces with negative curvature".

Ernesto A. Lacomba, J. Guadalupe Reyes (2000)

Publicacions Matemàtiques

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A mistake was found in the reasoning leading to a Lagrangian which we considered as equivalent from the formula for the action S(γ) below the classical mechanical problem (3) on "Non singular Hamiltonian systems and geodesic flows on surfaces with negative curvature", page 271.

Differential geometry of Cartan domains of type four

Chiara De Fabritiis (1990)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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In this note we compute the sectional curvature for the Bergman metric of the Cartan domain of type IV and we give a classification of complex totally geodesic manifolds for this metric.