On Geometry of Manifolds with Some Tensor Structures and Metrics of Norden Type [PDF]
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.
openaire +2 more sources
G. David and S. Semmes Fractured fractals and broken dreams – self-similar geometry through metric and measure (Oxford Lecture Series in Mathematics and its Applications Vol. 7, Clarendon Press, Oxford, 1997), ix + 212pp., 0 19 850166 8, (hardback) £35. [PDF]
openaire +2 more sources
Topics in Contemporary Differential Geometry, Complex Analysis and Mathematical Physics
Contemporary Aspects of Complex Analysis, Differential Geometry and Mathematical Physics, 2005The 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.
openaire +2 more sources
Connection between non-metric differential geometry and mathematical theory of imperfections
International Journal of Engineering Science, 1991Abstract 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).
openaire +2 more sources
FRACTURED FRACTALS AND BROKEN DREAMS: SELF-SIMILAR GEOMETRY THROUGH METRIC AND MEASURE (Oxford Lecture Series in Mathematics and its Applications 7) [PDF]
openaire +1 more source
The Moscow Mathematical Society and metric geometry: from Peterson to contemporary research
Transactions of the Moscow Mathematical Society, 2016openaire +2 more sources