Results 1 to 10 of about 170,043 (281)

Metric connections in projective differential geometry [PDF]

open access: green, 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
semanticscholar   +10 more sources

Benenti Tensors: A useful tool in Projective Differential Geometry [PDF]

open access: goldComplex 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   +7 more sources

Differential geometry of Hilbert schemes of curves in a projective space [PDF]

open access: goldComplex 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   +7 more sources

Projective differential geometry of curved surfaces [PDF]

open access: bronzeTransactions of the American Mathematical Society, 1907
The theory of surfaces, as developed by the author in the preceding three memoirs, was based upon the assumption that the surface considered was referred to its asymptotic curves. The complete system of invariants and covariallts was set up on that hypothesis.
E. J. Wilczynski
semanticscholar   +7 more sources

Differential geometry of complex projective plane conics [PDF]

open access: greenHokkaido 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
semanticscholar   +5 more sources

Metrics in projective differential geometry: the geometry of solutions to the metrizability equation [PDF]

open access: greenThe Journal of Geometric Analysis, 2018
Pseudo-Riemannian metrics with Levi-Civita connection in the projective class of a given torsion-free affine connection are equivalent to the maximal rank solutions of a certain overdetermined projectively invariant differential equation often called the
Keegan J. Flood, A. Rod Gover
semanticscholar   +6 more sources

Equivalence problems in projective differential geometry [PDF]

open access: bronzeTransactions of the American Mathematical Society, 1984
Equivalence problems for abstract, and induced, projective structures are investigated. (i) The notion of induced projective structures on submanifolds of a projective space is rigorously defined. (ii) Equivalence problems for such structures are discussed; in particular, it is shown that nonplanar surfaces in R
Kichoon Yang
semanticscholar   +4 more sources

Projective differential geometry of developable surfaces [PDF]

open access: bronzeTransactions 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

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