Displaying similar documents to “Complex sprays and complex curves.”

Contact geometry of curves.

Vassiliou, Peter J. (2009)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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Abnormality of trajectory in sub-Riemannian structure

F. Pelletier, L. Bouche (1995)

Banach Center Publications

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In the sub-Riemannian framework, we give geometric necessary and sufficient conditions for the existence of abnormal extremals of the Maximum Principle. We give relations between abnormality, C 1 -rigidity and length minimizing. In particular, in the case of three dimensional manifolds we show that, if there exist abnormal extremals, generically, they are locally length minimizing and in the case of four dimensional manifolds we exhibit abnormal extremals which are not C 1 -rigid and which...

Linearly Normal Curves in P^n

Pasarescu, Ovidiu (2004)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: 14H45, 14H50, 14J26. We construct linearly normal curves covering a big range from P^n, n ≥ 6 (Theorems 1.7, 1.9). The problem of existence of such algebraic curves in P^3 has been solved in [4], and extended to P^4 and P^5 in [10]. In both these papers is used the idea appearing in [4] and consisting in adding hyperplane sections to the curves constructed in [6] (for P^3) and [15, 11] (for P^4 and P^5) on some special surfaces. In...