caa a22 4500 386359784 CHVBK 20180307111911.0 cr unu---uuuuu 161130e198902 xx s 000 0 eng 10.1017/S0004972700028021 doi S0004972700028021 pii (NATIONALLICENCE)cambridge-10.1017/S0004972700028021 Musso Emilio Dipartimento di Matematica Pure ed Applicata, Universita Dell-Aquila, via Roma 33, 67-100 L'aquila, Italy On the twistor space of the six-sphere [Elektronische Daten] [Emilio Musso] The set of all complex lines of the right-handed Dirac spinor bundle of a standard six-sphere is the total space of the twistor fibration. The twistor space, endowed with its natural Kähler structure, is recognised to be a six-dimensional complex quadric. The relevant group is Spin(7), which acts transitively on the six-quadric, as a group of fiber-preserving isometries. We use a result due to Berard-Bérgery and Matsuzawa to show the existence of a non-Kähler, non symmetric, Hermitian-Einstein metric on the six-quadric, which is Spin(7)-invariant. Copyright © Australian Mathematical Society 1989 Bulletin of the Australian Mathematical Society Cambridge University Press 39/1(1989-02), 119-127 0004-9727 39:1<119 1989 39 BAZ https://doi.org/10.1017/S0004972700028021 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0004972700028021 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Musso Emilio Dipartimento di Matematica Pure ed Applicata, Universita Dell-Aquila, via Roma 33, 67-100 L'aquila, Italy NATIONALLICENCE 773 0- Bulletin of the Australian Mathematical Society Cambridge University Press 39/1(1989-02), 119-127 0004-9727 39:1<119 1989 39 BAZ CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge