Titlebook: Complex Manifolds without Potential Theory; with an appendix on Shiing-shen Chern Textbook 1979Latest edition S.-s. Chern 1979 Manifolds.P

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Complex Manifolds without Potential Theory978-1-4684-9344-3Series ISSN 0172-5939 Series E-ISSN 2191-6675

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https://doi.org/10.1007/978-3-319-30058-0Let M be a C. manifold of dimension n. To a point x ∈ M we will denote by T. and T. the tangent and cotangent spaces respectively. An . on M is a C. field of endomorphisms J.: T. → T., such that J. = −1., where 1. denotes the identity endomorphism in T..

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Imagination – die Kraft innerer BilderSheaf theory is a basic tool in the study of complex manifolds. We will review its main ideas and the cohomology theory built on it. For details cf. [5] or [2].

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Stabilisierung in der TraumabehandlungLet M be a complex manifold of dimension m. M is called . if an hermitian structure H is given in its tangent bundle T(M). With the local coordinates z.,…, z. a natural frame field is given by . and this frame is holomorphic. Let . Then the matrix . is positive definite hermitian.

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