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82 (1976), 357-416. 19. S. Kobayashi and K. Nomizu, Foundations of differential geometry, vol. I! (Wi­ ley, New York, 1969). 20. S. Lang, An introduction to complex hyperbolic spaces, (Springer, New York, 1987). 21. L. Lempert, La metrique de Kobayashi et la representation des domaines sur la boule, Bull. Soc. Math. France 109 (1981), 427-474. 22. M. Matsumoto, Foundations of Finsler geometry and special Finsler spaces, (Kaiseisha Press, Otsu Japan, 1966) 23. M. Y. Pang, Finsler metrics with the properties of the Kobayashi metric on convex domains, Publications Mathematiques 36 (1992), 131-155.

J. -T. Yau, Hermitian-Yang-Mills connection on non-Kahler manifolds, in "Mathematical aspects of string theory", Adv. Ser. Math. Phy. (World Scientific, Singapore, 1987), 560-573. 10. H. Nakajima, Compactness of the moduli space of Yang-Mills connections in higher dimensions, J. Math. Soc. Japan 40 (1988), 383-392. 11. T. Nitta, Compactfication of moduli spaces of Einstein-Hermitian connections for null-correlation bundles, in "Recent topics in differential and analytic geom­ etry" , Adv. Studies in Pure Math.

If a compact complex manifold M has no nonconstant furnctions, then M has the generalized Albanese mapping. meromorphic In Section 1 of this paper we recall the relation between Lie groups and Lie-Hopf algebras, which is dual to the popular relation between Lie groups and Lie algebras. In Section 2 we consider the well-known mappings to a Lie group characterized by pull-backs of invariant 1-forms. Section 3 is devoted to study the structure of complex spaces with ample 1-forms. The proofs of Theorems A and B will be given in Section 4.

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Comprehensive Intro to Differential Geometry [Vols 1, 2) by M. Spivak


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