The Geometry on Grassmann Manifolds Representing Subspaces in A Galois Space

1982 ◽  
pp. 9-38 ◽  
Author(s):  
Giuseppe Tallini
Keyword(s):  
Grassmann Manifolds ◽  
Galois Space

scholarly journals Dual Radon transforms on affine Grassmann manifolds

2004 ◽  
Vol 356 (10) ◽  
pp. 4161-4180 ◽  
Author(s):  
Fulton B. Gonzalez ◽  
Tomoyuki Kakehi
Keyword(s):  
Radon Transforms ◽  
Grassmann Manifolds

scholarly journals Nonimmersion theorems for Grassmann manifolds

1999 ◽  
Vol 96 (2) ◽  
pp. 171-184 ◽  
Author(s):  
Karl Heinz Mayer
Keyword(s):  
Grassmann Manifolds

Complete caps in AG(3, q) from elliptic curves

2014 ◽  
Vol 13 (08) ◽  
pp. 1450050 ◽  
Author(s):  
Irene Platoni
Keyword(s):  
Elliptic Curves ◽  
Lower Bounds ◽  
Three Dimensional ◽  
Complete Caps ◽  
Odd Order ◽  
Galois Space

In a three-dimensional Galois space of odd order q, the known infinite families of complete caps have size far from the theoretical lower bounds. In this paper, we investigate some caps defined from elliptic curves. In particular, we show that for each q between 100 and 350 they can be extended to complete caps, which turn out to be the smallest complete caps known in the literature.

Convexity On Grassmann Manifolds

2018 ◽  
pp. 483-496
Author(s):  
Herbert Busemann
Keyword(s):  
Grassmann Manifolds
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