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| File | Description | Size | Format | |
|---|---|---|---|---|
| Lectures_in_Mathematics_9.pdf | 15.99 MB | Adobe PDF | View/Open |
| Title: | A differential geometric study on strongly pseudo-convex manifolds |
| Authors: | Tanaka, Noboru |
| Keywords: | Geometry Differential Complex manifolds Complexes |
| Issue Date: | 1975 |
| Publisher: | Kinokuniya |
| Journal title: | Lectures in Mathematics |
| Volume: | 9 |
| Table of contents: | Introduction [1] Preliminary remarks [8] I. Strongly pseudo-convex manifolds §1. Partially complex manifolds [10] §2. Strongly pseudo-convex manifolds [22] §3. The canonical affine connections of strongly pseudo-convex manifolds [28] §4. The canonical connections of holomorphic vector bundles [37] II. The harmonic theory on strongly-convex manifolds §5. The Laplacian [43] §6. The harmonic theory for the complex {C^q(M, E),■_E} [52] §7. The cohomology groups H^<p,q>(M) [58] §8. The cohomology groups H^<k-1,1>_*(M) and H^k_0(M) [64] §9. Differentiable families of compact strongly pseudo-convex manifolds [72] §10. Strongly pseudo-convex manifolds and isolated singular points [82] III. Normal strongly pseudo-convex manifolds §11. Normal strongly pseudo-convex manifolds [93] §12. The double complex {B^<p,q>(M), ∂,■} [105] §13. Reduction theorems for the cohomology groups H^<p,q>_<(λ)>(M) and H^k_0(M) [121] Appendix Linear differential systems [139] |
| URI: | http://hdl.handle.net/2433/84914 |
| Appears in Collections: | Lectures in Mathematics : Department of Mathematics, Kyoto University |
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