Vanishing theorems for twistor spaces
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4, Volume 19 (1992) no. 2, p. 183-205 
@article{ASNSP_1992_4_19_2_183_0,
     author = {Nannicini, Antonella},
     title = {Vanishing theorems for twistor spaces},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     publisher = {Scuola normale superiore},
     volume = {Ser. 4, 19},
     number = {2},
     year = {1992},
     pages = {183-205},
     zbl = {0778.53050},
     mrnumber = {1197211},
     language = {en},
     url = {http://www.numdam.org/item/ASNSP_1992_4_19_2_183_0}
}

Nannicini, Antonella. Vanishing theorems for twistor spaces. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4, Volume 19 (1992) no. 2, pp. 183-205. http://www.numdam.org/item/ASNSP_1992_4_19_2_183_0/

[1] M.F. Atiyah - N.J. Hitchin - I.M. Singer, Self-duality in four-dimensional Riemannian geometry, Proc. Roy. Soc. London Ser. A 362, 425-461, 1978. | MR 506229 | Zbl 0389.53011

[2] A.L. Besse, Einstein manifolds, Springer Verlag, 1987. | MR 867684 | Zbl 0613.53001

[3] J.M. Bismut, Le théorème d'indice local pour des variétés non kählériennes, C.R. Acad. Sci. Paris Sér. I t. 308, 139-142, 1989. | MR 983667 | Zbl 0661.53050

[4] J.M. Bismut, Local index theorem for non kähler manifolds and equivariant Bott-Chern currents, Prépublications Orsay, n. 88-41, 1988. | MR 983667 | Zbl 0661.53050

[5] P. De Bartolomeis, Generalized Twistor Spaces and application, Seminari di Geometria Università di Bologna Dip. di Mat., 23-32, 1985. | MR 877533 | Zbl 0611.53060

[6] P. De Bartolomeis - L. Migliorini, Aspects of Mathematics, Klas Diederich (Ed.) Complex Analysis Dedicated to H. Grauert, Proc. of the Int. Workshop Wuppertal, 33-39, 1990. | MR 1122156 | Zbl 0733.53020

[7] P. De Bartolomeis - L. Migliorini A. Nannicini, Espace de twisteurs kählériens, C.R. Acad. Sci. Paris Sér. I t. 307, 259-261, 1989. | MR 956818 | Zbl 0645.53024

[8] P. De Bartolomeis - A. Nannicini, Handbook of Twistor Geometry, (to appear).

[9] S. Helgason, Differential geometry Lie groups and symmetric spaces, Academic Press New York, 1978. | MR 514561 | Zbl 0451.53038

[10] N.J. Hitchin, Harmonic spinors, Adv. in Math., 14, 1-55, 1974. | MR 358873 | Zbl 0284.58016

[11] N.J. Hitchin, Kählerian twistor spaces, Proc. London Math. Soc. (3) 43, 133-150, 1981. | MR 623721 | Zbl 0474.14024

[12] N.J. Hitchin, Linear field equations on self-dual spaces, Proc. Roy. Soc. London Ser. A 370, 173-191, 1980. | MR 563832 | Zbl 0436.53058

[13] A. Gray - M. Barros - M. Naveira L. VANHECKE, The Chern numbers of holomorphic vector bundles and formally holomorphic connections of complex vector bundles over almost complex manifolds, Jurnal für Mathematik 314, 84-98, 1979. | MR 555906 | Zbl 0432.53050

[14] W. Greub, Multilinear Algebra, Springer-Verlag, 1978. | MR 504976 | Zbl 0387.15001

[15] H. Lawson Blainejr. - M.L. Michelshon, Spin Geometry, Princeton Mathematical Series, 38, 1990. | Zbl 0688.57001

[16] J.W. Milnor - J.D. Stasheff, Characteristic Classes, Ann. of Math. Stud. 76, Princeton University Press, Princeton, 1974. | MR 440554 | Zbl 0298.57008

[17] A. Nannicini, Introduzione allo studio della geometria spinoriale, Seminari dell'Istituto di Matematica Applicata G. Sansone Univ. di Firenze, 1989.