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Quaternionic projective space

In mathematics, quaternionic projective space is an extension of the ideas of real projective space and complex projective space, to the case where coordinates lie in the ring of quaternions H . {\displaystyle \mathbb {H} .} Quaternionic projective space of dimension n is usually denoted by

Special cases, In coordinates & Differential geometry

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In coordinates

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Differential geometry

Special cases

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Quaternionic projective space

Nodes46
Edges45
Triples25
Avg. degree1.96
Density0.043478
Components1

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Quaternionic projective space

Top relations

related to Further reading · 18
Quaternionic projective space → Arnol'd, Cite, CiteSeerX, Complex Conjugation, Complex Projective Plane, Gormley, Inst, JSTOR, Mat, Proceedings, Quotient, Relatives, Royal Irish Academy, Section, Steklova, Stereographic, Tr, Treats
related to Differential geometry · 6
Quaternionic projective space → CP, Fubini-Study, HP, Kähler, Quaternionic, Riemannian
is a · 1
Quaternionic projective space → extension of the ideas of real projective space and complex projective space

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Important terminology

displaystyle mathbb hp space projective quaternionic group complex coordinates line quaternions 4n infty action ring homotopy one 4-sphere real lie

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Quaternionic projective spaceis aextension of the ideas of real projective space and complex projective space0.90text
Quaternionic projective spacerelated to Differential geometryHP0.60section
Quaternionic projective spacerelated to Differential geometryRiemannian0.60section
Quaternionic projective spacerelated to Differential geometryFubini-Study0.60section
Quaternionic projective spacerelated to Differential geometryCP0.60section
Quaternionic projective spacerelated to Differential geometryKähler0.60section
Quaternionic projective spacerelated to Differential geometryQuaternionic0.60section
Quaternionic projective spacerelated to Further readingArnol'd0.60section
Quaternionic projective spacerelated to Further readingRelatives0.60section
Quaternionic projective spacerelated to Further readingQuotient0.60section
Quaternionic projective spacerelated to Further readingComplex Projective Plane0.60section
Quaternionic projective spacerelated to Further readingComplex Conjugation0.60section

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