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On Geometry of Manifolds with Some Tensor Structures and Metrics of Norden Type [PDF]

open access: yesarXiv: Differential Geometry, 2017
The object of study in the present dissertation are some topics in differential geometry of smooth manifolds with additional tensor structures and metrics of Norden type. There are considered four cases depending on the dimension of the manifold: 2n, 2n + 1, 4n and 4n + 3.
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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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Connection between non-metric differential geometry and mathematical theory of imperfections

International Journal of Engineering Science, 1991
Abstract Time-dependent geometric objects of three-dimensional space of non-metric connection and two-dimensional surface embedded in such space are interpreted in terms of the continuum theory of moving imperfections (dislocations, disclinations and extra-matter).
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