Scalar curvature of QR-submanifolds with maximal QR-dimension in a quaternionic projective space

Hyang Sook Kim () and Jin Suk Pak ()
Additional contact information
Hyang Sook Kim: Inje University
Jin Suk Pak: Daegu University

Indian Journal of Pure and Applied Mathematics, 2011, vol. 42, issue 2, 109-126

Abstract: Abstract In this paper we derive an integral formula on an n-dimensional, compact, minimal QR-submanifoldM of (p−1) QR-dimension immersed in a quaternionic projective space QP (n+p)/4. Using this integral formula, we give a sufficient condition concerning with the scalar curvature of M in order that such a submanifold M is to be a tube over a quaternionic projective space.

Keywords: quaternionic projective space; scalar curvature; QR-submanifold; maximal QR-dimension; quaternionic invariant distribution; minimal (search for similar items in EconPapers)
Date: 2011
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s13226-011-0007-7 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:indpam:v:42:y:2011:i:2:d:10.1007_s13226-011-0007-7

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/13226

DOI: 10.1007/s13226-011-0007-7

Access Statistics for this article

Indian Journal of Pure and Applied Mathematics is currently edited by Nidhi Chandhoke

More articles in Indian Journal of Pure and Applied Mathematics from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().