Projectively flat surfaces in
Proc. Amer. Math. Soc. 119 (1993), 255-260
Primary 53B05; Secondary 53A15
Full-text PDF Free Access
Similar Articles |
Abstract: We consider a nondegenerate immersion of an orientable -dimensional manifold together with the Blaschke connection induced on ; this work is aimed at studying locally convex surfaces whose Blaschke connection is projectively flat, reducing the problem of their classification to a system of PDE's. In particular we can prove the existence of locally convex projectively flat surfaces which are not locally symmetric.
Nomizu, Recent results in affine differential geometry—an
introduction and a survey, Geometry and global analysis (Sendai, 1993)
Tohoku Univ., Sendai, 1993, pp. 351–357. MR 1361200
Nomizu and Barbara
Opozda, On normal and conormal maps for affine hypersurfaces,
Tohoku Math. J. (2) 44 (1992), no. 3, 425–431.
1176082 (93j:53013), http://dx.doi.org/10.2748/tmj/1178227306
B. Opozda and L. Verstraelen, On a new curvature tensor in affine differential geometry, Geometry and Topology of Submanifolds. II, Avignon, May 1988.
- K. Nomizu, Introduction to affine differential geometry, Part I, Lecture notes, preprint MPI 88-37, 1988; revised, Dept. of Math., Brown University, 1989. MR 1361200 (96k:53012)
- K. Nomizu and B. Opozda, On normal and conormal maps for affine hypersurfaces, preprint MPI 91-65. MR 1176082 (93j:53013)
- B. Opozda and L. Verstraelen, On a new curvature tensor in affine differential geometry, Geometry and Topology of Submanifolds. II, Avignon, May 1988.
Retrieve articles in Proceedings of the American Mathematical Society
Retrieve articles in all journals
© Copyright 1993 American Mathematical Society