## Tsukuba Journal of Mathematics

### The Chen invariants of warped products of hyperbolic planes and their applications to immersibility problems

Bogdan Suceava

#### Abstract

The classical obstruction to minimal isometric immersions into Euclidean space is $Ric \geq 0$. In this article we construct examples of Riemannian manifolds with $Ric \lt 0$ which don't admit any minimal isometric immersion into Euclidean space for any codimension, by applying Chen invariants.

#### Article information

Source
Tsukuba J. Math., Volume 25, Number 2 (2001), 311-320.

Dates
First available in Project Euclid: 30 May 2017

https://projecteuclid.org/euclid.tkbjm/1496164290

Digital Object Identifier
doi:10.21099/tkbjm/1496164290

Mathematical Reviews number (MathSciNet)
MR1869765

Zentralblatt MATH identifier
1027.53038

#### Citation

Suceava, Bogdan. The Chen invariants of warped products of hyperbolic planes and their applications to immersibility problems. Tsukuba J. Math. 25 (2001), no. 2, 311--320. doi:10.21099/tkbjm/1496164290. https://projecteuclid.org/euclid.tkbjm/1496164290