Tohoku Mathematical Journal
2005
June
SECOND SERIES VOL. 57, NO. 2

Tohoku Math. J.
57 (2005), 293-302

Title STABILITY OF NATURAL ENERGY FUNCTIONALS AT RIEMANNIAN SUBIMMERSIONS

Author Stefan Bechtluft-Sachs and Andreas Döring

(Received September 16, 2003, revised May 20, 2004)
Abstract. We derive variational formulas of natural first order functionals and obtain criteria for stability in particular at Riemannian subimmersions.

2000 Mathematics Subject Classification. Primary 58E20; Secondary 53C43.
Key words and phrases. $\Phi$-energy, harmonic maps, stability.

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