Results 91 to 100 of about 277 (149)

Parallel submanifolds in a quaternion projective space

open access: yesOsaka Journal of Mathematics, 1985
The purpose of the paper is to classify submanifolds with parallel second fundamental form in a quaternion projective space and its non-compact dual space. In order to do so, the author performs a systematic study of three kinds of immersions of a Riemannian manifold into a quaternion Kaehler manifold: totally real, totally complex and invariant ...
openaire   +4 more sources

Relatives of the Quotient of the Complex Projective Plane by the Complex Conjugation [PDF]

open access: yes, 1999
It is proved that the quotient space of the four-dimensional quaternionic projective space by the automorphism group of the quaternionic algebra becomes the 13-dimensional sphere while quotioned by the quaternionic conjugation.
Arnold, Vladimir
core  

Relatives of the Quotient of the Complex Projective Plane By the Complex Cojugation [PDF]

open access: yes, 2007
It is proved, that the quotient space of the four-dimensional quaternionic projective space by the automorphism group of the quaternionic algebra becomes the 13-dimensional sphere while quotioned the the quaternionic conjugation.
Arno Ld
core  

INVERSE LIMITS OF PROJECTIVE SPACES AND THE FIXED POINT PROPERTY [PDF]

open access: yes, 2014
. We consider inverse limits of even dimensional projective spaces with essential bonding mappings. J. Segal and T. Watanabe [14] have shown that such inverse limits on complex projective space will have the fixed point property.
M. M. Marsh   +1 more
core  

On totally real minimal submanifolds in complex projective space [PDF]

open access: yes, 2005
summary:In this paper, we obtain some pinching theorems for totally real minimal submanifolds in complex projective ...
Chao, Xiaoli, Li, Yaowen
core  

Geodesic fibrations for packing diabolic domains. [PDF]

open access: yesProc Natl Acad Sci U S A, 2020
Kamien RD, Machon T.
europepmc   +1 more source

On Products of Random Matrices. [PDF]

open access: yesEntropy (Basel), 2020
Amburg N, Orlov A, Vasiliev D.
europepmc   +1 more source

Moduli of triples of points in quaternionic hyperbolic geometry [PDF]

open access: yes
In this work, we describe the moduli of triples of points in quaternionic projective space which define uniquely the congruence classes of such triples relative to the action of the isometry group of quaternionic hyperbolic space ${\rm H}^n_{\mathbb{Q}}$.
Gusevskii, Nikolay, Almeida, Igor
core   +1 more source

Envelopes and osculates of Willmore surfaces [PDF]

open access: yes, 2007
This is the pre-published version harvested from arXiv. The published version is located at http://jlms.oxfordjournals.org/content/75/1/199.fullWe view conformal surfaces in the 4-sphere as quaternionic holomorphic curves in quaternionic projective space.
Leschke, K, Pedit, F
core   +1 more source

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