Geodesic
A local index theorem for non Kähler manifolds.
Mathematische Annalen, Tome 284 (1989) no. 4, pp. 681-699.

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Mots-clés : heat equation, parabolic equations, Atiyah-Singer index theorem 
@article{MAN_1989__284_4_164580,
     author = {Jean-Michel Bismut},
     title = {A local index theorem for non {K\"ahler} manifolds.},
     journal = {Mathematische Annalen},
     pages = {681--699},
     publisher = {mathdoc},
     volume = {284},
     number = {4},
     year = {1989},
     zbl = {0666.58042},
     url = {http://geodesic.mathdoc.fr/item/MAN_1989__284_4_164580/}
}
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Jean-Michel Bismut. A local index theorem for non Kähler manifolds.. Mathematische Annalen, Tome 284 (1989) no. 4, pp. 681-699. http://geodesic.mathdoc.fr/item/MAN_1989__284_4_164580/