Results 1 to 10 of about 438,132 (304)
Higher Order Connections [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2009 The purpose of this article is to present the theory of higher order connections on vector bundles from a viewpoint inspired by projective differential geometry.
Michael G. Eastwood
doaj +9 more sources
Metric connections in projective differential geometry [PDF]
, 2008 We search for Riemannian metrics whose Levi-Civita connection belongs to a given projective class. Following Sinjukov and Mikes, we show that such metrics correspond precisely to suitably positive solutions of a certain projectively invariant finite-type
Michael Eastwood, Vladimir S. Matveev
core +8 more sources
Benenti Tensors: A useful tool in Projective Differential Geometry [PDF]
Complex Manifolds, 2018 Two metrics are said to be projectively equivalent if they share the same geodesics (viewed as unparametrized curves). The degree of mobility of a metric g is the dimension of the space of the metrics projectively equivalent to g. For any pair of metrics
Manno Gianni, Vollmer Andreas
doaj +6 more sources
INTEGRABLE SYSTEMS IN PROJECTIVE DIFFERENTIAL GEOMETRY
Kyushu Journal of Mathematics, 2000 Some of the most important classes of surfaces in projective 3-space are reviewed: these are isothermally asymptotic surfaces, projectively applicable surfaces, surfaces of Jonas, projectively minimal surfaces, etc.
E. V. Ferapontov
core +6 more sources
Differential geometry of Hilbert schemes of curves in a projective space [PDF]
Complex Manifolds, 2019 We describe the natural geometry of Hilbert schemes of curves in ℙ3and, in some cases, in ℙn, n ≥ 4.
Bielawski Roger, Peternell Carolin
doaj +5 more sources
Projective differential geometry of developable surfaces [PDF]
Transactions of the American Mathematical Society, 1913 Reprinted from the Transactions of the American Mathematical Society, v. 14. ; Vita. ; Thesis (Ph.D.)--University of Illinois, 1912. ; Mode of access: Internet.
William Wells Denton
openalex +3 more sources
Differential Invariants of Conformal and Projective Surfaces [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2007 We show that, for both the conformal and projective groups, all the differential invariants of a generic surface in three-dimensional space can be written as combinations of the invariant derivatives of a single differential invariant. The proof is based
Evelyne Hubert, Peter J. Olver
doaj +10 more sources
Differential geometry of complex projective plane conics [PDF]
Hokkaido Mathematical Journal, 2023 In this paper we study properties of complex plane projective curves from a geometric point of view. We focus our attention on properties of conics. We find that Gauss curvature determines a conic up to a hermitian transformation preserving the Fubini-Study metric of the complex projective plane and we discuss some other geometric properties of the ...
Enrique Artal Bartolo, R. MORÓN-SANZ
openalex +3 more sources
Metrics in projective differential geometry: the geometry of solutions to the metrizability equation [PDF]
The Journal of Geometric Analysis, 2018 27 pages.
Keegan J. Flood, A. Rod Gover
openalex +5 more sources
Differential Chow Form for Projective Differential Variety [PDF]
arXiv, 2011 In this paper, a generic intersection theorem in projective differential algebraic geometry is presented. Precisely, the intersection of an irreducible projective differential variety of dimension d>0 and order h with a generic projective differential hyperplane is shown to be an irreducible projective differential variety of dimension d-1 and order h.
Gao, Xiao-Shan, Li, Wei
arxiv +2 more sources