Spectral Geometry and the Kaehler Condition for Complex Manifolds.
Inventiones mathematicae, Tome 26 (1974), pp. 231-258.

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@article{IM_1974__26_142301,
     author = {Peter B. Gilkey},
     title = {Spectral {Geometry} and the {Kaehler} {Condition} for {Complex} {Manifolds.}},
     journal = {Inventiones mathematicae},
     pages = {231--258},
     publisher = {mathdoc},
     volume = {26},
     year = {1974},
     zbl = {0303.53057},
     url = {http://geodesic.mathdoc.fr/item/IM_1974__26_142301/}
}
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Peter B. Gilkey. Spectral Geometry and the Kaehler Condition for Complex Manifolds.. Inventiones mathematicae, Tome 26 (1974), pp. 231-258. http://geodesic.mathdoc.fr/item/IM_1974__26_142301/