Two models of non-Euclidean spaces generated by associative algebras
Mária Trnková (2010)
Acta Universitatis Carolinae. Mathematica et Physica
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Displaying similar documents to “The Projectivization of Conformal Models of Fibrations Determined by the Algebra of Quaternions”
Two models of non-Euclidean spaces generated by associative algebras
Uniqueness of the stereographic embedding
Michael Eastwood (2014)
Archivum Mathematicum
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The standard conformal compactification of Euclidean space is the round sphere. We use conformal geodesics to give an elementary proof that this is the only possible conformal compactification.
Conformal Imbeddings of the Complex Projective Plane and Self-Dual Connections.
Henrik Karstoft (1992)
Mathematica Scandinavica
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Submanifold geometry in generalized flag manifolds
Burstall, Francis E., Calderbank, David M. J.
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Editors’ preface for the topical issue “Finite dimensional integrable systems, dynamics, and Lie theoretic methods in Geometry and Mathematical Physics”
Andreas Čap, Vladimir Matveev, Karin Melnick, Galliano Valent (2012)
Open Mathematics
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Essential Killing fields of parabolic geometries: projective and conformal structures
Andreas Čap, Karin Melnick (2013)
Open Mathematics
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We use the general theory developed in our article [Čap A., Melnick K., Essential Killing fields of parabolic geometries, Indiana Univ. Math. J. (in press)], in the setting of parabolic geometries to reprove known results on special infinitesimal automorphisms of projective and conformal geometries.
Transitive conformal holonomy groups
Jesse Alt (2012)
Open Mathematics
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For (M, [g]) a conformal manifold of signature (p, q) and dimension at least three, the conformal holonomy group Hol(M, [g]) ⊂ O(p + 1, q + 1) is an invariant induced by the canonical Cartan geometry of (M, [g]). We give a description of all possible connected conformal holonomy groups which act transitively on the Möbius sphere S p,q, the homogeneous model space for conformal structures of signature (p, q). The main part of this description is a list of all such groups which also act...