Download E-books Projective Differential Geometry of Submanifolds (North-Holland Mathematical Library) PDF

By M. A. Akivis

During this publication, the overall thought of submanifolds in a multidimensional projective area is built. the themes handled contain osculating areas and basic types of assorted orders, asymptotic and conjugate traces, submanifolds at the Grassmannians, diverse points of the normalization difficulties for submanifolds (with specific emphasis given to a connection within the common package deal) and the matter of algebraizability for other kinds of submanifolds, the geometry of hypersurfaces and hyperbands, and so forth. a chain of exact varieties of submanifolds with detailed projective constructions are studied: submanifolds sporting a web of conjugate traces (in specific, conjugate systems), tangentially degenerate submanifolds, submanifolds with asymptotic and conjugate distributions and so forth. the strategy of relocating frames and the equipment of external differential types are systematically utilized in the booklet and the implications awarded should be utilized to the issues facing the linear subspaces or their generalizations.

Graduate scholars majoring in differential geometry will locate this monograph of significant curiosity, as will researchers in differential and algebraic geometry, complicated research and concept of numerous advanced variables.

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