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A cluster of results on amplituhedron tiles. [PDF]
Even-Zohar C+5 more
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Neck-pinching of C P 1 -structures in the PSL 2 C -character variety. [PDF]
Baba S.
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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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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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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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Projective Differential Geometry of Curved Surfaces (First Memoir)
Transactions of the American Mathematical Society, 1907E. J. Wilczynski
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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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On the Projective Differential Geometry of Plane Anharmonic Curves
The Annals of Mathematics, 1913S. W. Reaves
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On the Projective Differential Geometry of Conjugate Nets
American Journal of Mathematics, 1931Es wird eine neue analytische Behandlungsweise eines (konjugierten) Kurvennetzes auf einer Fläche des dreidimensionalen projektiven Raumes angegeben, wobei auf die Symmetrie der Formeln in bezug auf die beiden Scharen von Netzkurven besonderes Gewicht gelegt wird.
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