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Notes on Projective Differential Geometry [PDF]
Projective differential geometry was initiated in the 1920s, especially by Elie Cartan and Tracey Thomas. Nowadays, the subject is not so well-known. These notes aim to remedy this deficit and present several reasons why this should be done at this time.
M. Eastwood
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Projective Differential Geometry [PDF]
In this chapter we give a discussion of projective submanifolds in general, and revisit a few examples (quadrics, in particular) that are important for a number of different reasons. We use thee technique of moving frames a la Elie Cartan. This technique is effective in uncovering various degeneracy phenomena as regards projective subvarieties.
Kichoon Yang
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Projective Differential Geometry of Curved Surfaces (Fourth Memoir)
Transactions of the American Mathematical Society, 1907E. J. Wilczynski
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Projective Sampling for Differentiable Rendering of Geometry
ACM Transactions on Graphics, 2023Discontinuous visibility changes at object boundaries remain a persistent source of difficulty in the area of differentiable rendering. Left untreated, they bias computed gradients so severely that even basic optimization tasks fail. Prior path-space methods addressed this bias by decoupling boundaries from the interior, allowing each part to
Zhang, Ziyi+2 more
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Space Kinematics and Projective Differential Geometry over the Ring of Dual Numbers
, 2020We study an isomorphism between the group of rigid body displacements and the group of dual quaternions modulo the dual number multiplicative group from the viewpoint of differential geometry in a projective space over the dual numbers.
Hans-Peter Schrocker+2 more
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On the Projective Differential Geometry of Plane Anharmonic Curves
The Annals of Mathematics, 1913S. W. Reaves
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, 1915
In a preceding paper,t we have laid the foundations for a purely projective theory of conjugate nets on a surface and for the related theories of a oneparameter filmily of space curves and the congruence of tangents thereto.
G. M. Green
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In a preceding paper,t we have laid the foundations for a purely projective theory of conjugate nets on a surface and for the related theories of a oneparameter filmily of space curves and the congruence of tangents thereto.
G. M. Green
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Surveys in Modern Mathematics: Projective differential geometry: old and new
, 2005V. Yu. Ovsienko
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Projective Differential Geometry
The American Mathematical Monthly, 1933(1933). Projective Differential Geometry. The American Mathematical Monthly: Vol. 40, No. 10P1, pp. 568-579.
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