Hokkaido Mathematical Journal

Rigidity of transversally biharmonic maps between foliated Riemannian manifolds

Shinji OHNO, Takashi SAKAI, and Hajime URAKAWA

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text


On a smooth foliated map from a complete, possibly non-compact, foliated Riemannian manifold into another foliated Riemannian manifold of which transversal sectional curvature is non-positive, we will show that, if it is transversally biharmonic and has the finite energy and finite bienergy, then it is transversally harmonic.

Article information

Hokkaido Math. J., Volume 47, Number 3 (2018), 637-654.

First available in Project Euclid: 26 September 2018

Permanent link to this document

Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 58E20: Harmonic maps [See also 53C43], etc.
Secondary: 53C43: Differential geometric aspects of harmonic maps [See also 58E20]

foliation divergence theorem transversally harmonic transversally biharmonic


OHNO, Shinji; SAKAI, Takashi; URAKAWA, Hajime. Rigidity of transversally biharmonic maps between foliated Riemannian manifolds. Hokkaido Math. J. 47 (2018), no. 3, 637--654. doi:10.14492/hokmj/1537948835. https://projecteuclid.org/euclid.hokmj/1537948835

Export citation