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Connection between non-metric differential geometry and mathematical theory of imperfections

International Journal of Engineering Science, 1991
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Topics in Contemporary Differential Geometry, Complex Analysis and Mathematical Physics

Contemporary Aspects of Complex Analysis, Differential Geometry and Mathematical Physics, 2005
The algebraic notion of Gieseker stability is related to the existence of balanced metrics which are zeros of a certain moment map. We investigate some properties of balanced metrics relative to the Harder-Narasimhan filtration of a vector bundle and to blowups in the case of projective surfaces.
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