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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

POLAR FOLIATIONS ON QUATERNIONIC PROJECTIVE SPACES

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Author(s):
Dominguez-Vazquez, Miguel [1] ; Gorodski, Claudio [2]
Total Authors: 2
Affiliation:
[1] UAM, UC3M, UCM, ICMAT Inst Ciencias Matemat, CSIC, Calle Nicolas Cabrera 13-15, Campus Cantoblanco, Madrid 28049 - Spain
[2] Univ Sao Paulo, Inst Matemat & Estat, Rua Matao 1010, BR-05508090 Sao Paulo, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: TOHOKU MATHEMATICAL JOURNAL; v. 70, n. 3, p. 353-375, 2018.
Web of Science Citations: 0
Abstract

We classify irreducible polar foliations of codimension q on quaternionic projective spaces HPn, for all (n, q) not equal (7, 1). We prove that all irreducible polar foliations of any codimension (resp. of codimension one) on HPn are homogeneous if and only if n + 1 is a prime number (resp. n is even or n = 1). This shows the existence of inhomogeneous examples of codimension one and higher. (AU)

FAPESP's process: 11/21362-2 - Group actions, submanifold theory and global analysis in Riemannian and pseudo-Riemannian geometry
Grantee:Paolo Piccione
Support Opportunities: Research Projects - Thematic Grants