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Theorems of Barth-Lefschetz type and Morse theory on the space of paths - MaRDI portal

Theorems of Barth-Lefschetz type and Morse theory on the space of paths (Q1273136)

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scientific article; zbMATH DE number 1229582
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Theorems of Barth-Lefschetz type and Morse theory on the space of paths
scientific article; zbMATH DE number 1229582

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    Theorems of Barth-Lefschetz type and Morse theory on the space of paths (English)
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    11 July 2000
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    The authors show that a variant of Frankel's argument [\textit{T. Frankel}, Pac. J. Math. 11, 165-174 (1961; Zbl 0107.39002)] together with Morse theory on a space of paths leads to proof of homotopy connectedness theorems for complex submanifolds of certain Kähler manifolds of nonnegative holomorphic bisectional curvature.
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    Morse theory
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    homotopy connectedness theorems
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    Kähler manifolds
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