## Bulletin of the Belgian Mathematical Society - Simon Stevin

### Ricci curvature of integral submanifolds of an $f.p.k.$-space form

Mahmood Jaafari Matehkolaee

#### Abstract

In this paper, relationships between the Ricci curvature and the squared mean curvature for integral submanifolds of an $f.p.k.$-space form by a basic inequality, are studied. We show that if an integral submanifold of maximum dimension of an $f.p.k.$-space form satisfies the equality case, then it must be minimal.

#### Article information

Source
Bull. Belg. Math. Soc. Simon Stevin, Volume 21, Number 3 (2014), 437-453.

Dates
First available in Project Euclid: 11 August 2014

Permanent link to this document
https://projecteuclid.org/euclid.bbms/1407765882

Digital Object Identifier
doi:10.36045/bbms/1407765882

Mathematical Reviews number (MathSciNet)
MR3250771

Zentralblatt MATH identifier
1305.53037

#### Citation

Matehkolaee, Mahmood Jaafari. Ricci curvature of integral submanifolds of an $f.p.k.$-space form. Bull. Belg. Math. Soc. Simon Stevin 21 (2014), no. 3, 437--453. doi:10.36045/bbms/1407765882. https://projecteuclid.org/euclid.bbms/1407765882