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Everything about Quaternionic projective space
Concept in mathematics
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 Quaternionic projective space of dimension n is usually denoted by Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Quaternionic projective spaceA 5-minute orientation
- Skim a recent paper: The string topology coproduct on complex and quaternionic projective spaceInfluential work since 2022
- Pick up a classic book: 3D math primer for graphics and game developmentThe most-reprinted book on the subject
- Read the landmark paper: Real hypersurfaces of quaternionic projective space satisfying ▽UiR = 0Cited 78 times
- Go sideways: Quaternionic manifoldA closely related topic
- Go sideways: Bott periodicity theoremA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Real hypersurfaces of quaternionic projective space satisfying ▽UiR = 0
Real hypersurfaces in quaternionic projective space
Cycle-parallel real hypersurfaces of quaternionic projective space
Projective group representations in quaternionic Hilbert space
Real hypersurfaces of quaternionic projective space satisfying $$\nabla _{U_i } A = 0$$
THE HOMOTOPY CLASSIFICATION OF SELF-MAPS OF INFINITE QUATERNIONIC PROJECTIVE SPACE
On the Ricci tensor of real hypersurfaces of quaternionic projective space
Real submanifolds in a quaternionic projective space
🆕 Influential since 2022
The string topology coproduct on complex and quaternionic projective space
Biharmonic submanifolds of the quaternionic projective space
Minimal δ(2)-ideal Lagrangian submanifolds and the quaternionic projective space
Inertia groups and smooth structures on quaternionic projective spaces
On isoparametric foliations of complex and quaternionic projective spaces
📚 Books worth reading
3D math primer for graphics and game developmentFletcher Dunn · 2002
Abstract algebraDavid S. Dummit · 1991
Higher mathematicsMansfield Merriman · 1896
Geometric Methods and ApplicationsJean Gallier · 2001
The four pillars of geometryJohn C. Stillwell · 2008
Higher mathematicsMansfield Merriman · 1896
Higher mathematicsMansfield Merriman · 1898
Information computing and applicationsChina) ICICA (Conference) (3rd 2012 Chengde · 2012
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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- Arnold–Kuiper–Massey theorem In projective geometry in mathematics, the Arnold–Kuiper–Massey theorem (or AKM theorem) includes three connected results about projective planes and their…
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- Complex projective space In mathematics, complex projective space is the projective space with respect to the field of complex numbers. By analogy, whereas the points of a real…