References
Abe, K.: Characterisations of totally geodesic submanifolds inS N andCP N by an inequality. Tohoku Math. J.23, 219–244 (1971)
Bochner, S.: Euler-Poincaré characteristic for locally homogeneous and complex spaces. Ann. Math.51, 241–261 (1950)
Borel, A., Remmert, R.: Über kompakte homogene Kählerische Mannigfaltigkeiten. Math. Ann.145, 429–439 (1961/62)
Eells, J., Sampson, J. H.: Harmonic mappings of Riemannian manifolds. Amer. J. Math.86, 109–160 (1964)
Gunning, R.: Lectures on Riemann surfaces; Jacobi varieties. Princeton: Princeton University Press 1972
Hartman, P.: On isometric immersions in Euclidean space of manifolds with non-negative sectional curvature. Trans. Amer. Math. Soc.115, 94–109 (1965)
Hartman, P., Nirenberg, L.: On spherical image maps whose Jacobians do not change sign. Amer. J. Math.81, 901–920 (1959)
Howard, A., Matsushima, Y.: Weakly ample vector bundles and submanifolds of complex tori. In: Rencontre sur l'analyse complexe à plusieurs variables et les systèmes surdéterminés. Montréal: Les Presses de l'Université de Montréal 1976
Kobayashi, S.: Transformation groups in differential geometry. Berlin, Heidelberg, New York: Springer 1972
Kobayashi, S., Nomizu, K.: Foundations of Differential Geometry, Vol. 2. New York: Interscience 1969
Matsushima, Y.: Holomorphic immersions of a compact Kähler manifold into complex tori. J. Diff. Geometry9, 309–328 (1974)
Matsushima, Y., Stoll, W.: Ample vector bundles on compact complex spaces. Rice University Studies59, 71–107 (1973)
Milnor, J.: Topology from the differentiable viewpoint. University of Virginia Press 1965
Nagano, T., Smyth, B.: Minimal varieties and harmonic maps in tori. Comment. Math. Helv.50, 249–265 (1975)
Ochiai, T.: On holomorphic curves in algebraic varieties with ample irregularity. Résumé in: Bulletin of the Summer Institute on several complex variables, Williamstown 1975
Yau, S.-T.: On the curvature of compact Hermitian manifolds. Inventiones Math.25, 213–239 (1974)
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Supported by the Sonderforschungsbereich „Theoretische Mathematik“ at the University of Bonn
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Smyth, B. Weakly ample Kähler manifolds and Euler number. Math. Ann. 224, 269–279 (1976). https://doi.org/10.1007/BF01459849
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DOI: https://doi.org/10.1007/BF01459849