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On \(p\)-tuples of the Grassmann manifolds

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Publication:1956318
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DOI10.1007/s00022-013-0146-6zbMath1314.51009OpenAlexW2013398021MaRDI QIDQ1956318

Joël Rouyer

Publication date: 13 June 2013

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-013-0146-6


zbMATH Keywords

Grassmann manifoldSeidel matricesregular tuples


Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) Congruence and orthogonality in metric geometry (51F20) Synthetic treatment of fundamental manifolds in projective geometries (Grassmannians, Veronesians and their generalizations) (51M35)




Cites Work

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  • On \(p\)-tuples of equi-isoclinic 3-spaces in the Euclidean space
  • On the laws of trigonometries of two-point homogeneous spaces
  • The shape invariant of triangles and trigonometry in two-point homogeneous spaces
  • On the trigonometry of symmetric spaces
  • The triplets of the Grassmann manifold \(\text{G}_ 2(\mathbb{R}^ 6)\)
  • Laws of Trigonometry on SU(3)
  • Sous-espaces équi-isoclins de l'espace euclidien
  • DIFFERENTIAL GEOMETRY OF GRASSMANN MANIFOLDS
  • Congruence theorem for 4-tuples in the Grassmann manifold \(G_2(R^8)\)


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