an:00164956
Zbl 0765.53025
Wood, C. M.
Instability of the nearly-K??hler six-sphere
EN
J. Reine Angew. Math. 439, 205-212 (1993).
00013386
1993
j
53C15
almost-Hermitian structure; twistor bundle; energy functional; nearly- K??hler structure; six-sphere
An almost-Hermitian structure is said to be harmonic if the parametrizing section of the twistor bundle is a critical point of the energy functional, with respect to variations through sections. It is shown that every nearly-K??hler structure is harmonic, in particular the standard almost-complex structure on the six-sphere. However, the latter is unstable, there being a 7-parameter family of energy-decreasing variations through nearby almost-Hermitian structures.
C.M.Wood (Heslington)