Titlebook: K?hler Immersions of K?hler Manifolds into Complex Space Forms; Andrea Loi,Michela Zedda Book 2018 Springer Nature Switzerland AG 2018 Com

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The Diastasis Function,r manifolds into complex space forms. In Sect. 1.1 we define the diastasis function and summarize its basic properties, while in Sect. 1.2 we describe the diastasis functions of complex space forms, which represent the basic examples of K?hler manifolds. Finally, in Sect. 1.3 we give the formal defi

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,Calabi’s Criterion,nfinite dimensional complex space form. In particular, Calabi provides an algebraic criterion to find out whether a complex manifold admits or not such an immersion. Sections 2.1 and 2.2 are devoted to illustrate Calabi’s criterionfor K?hler immersions into the complex Euclidean space and nonflat co

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