On certain differential forms in Riemannian manifolds リーマン多様体上のある微分形式について
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Bibliographic Information
- Title
-
On certain differential forms in Riemannian manifolds
- Other Title
-
リーマン多様体上のある微分形式について
- Author
-
柏田, 豊子
- Author(Another name)
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カシワダ, トヨコ
- University
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慶應義塾大学
- Types of degree
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理学博士
- Grant ID
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乙第2421号
- Degree year
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1992-01-22
Note and Description
博士論文
Table of Contents
- 論文目録 / (0001.jp2)
- Contents / p1 (0004.jp2)
- Introduction / p2 (0005.jp2)
- Chapter1.Killing forms / p13 (0016.jp2)
- §1.Preliminaries / p13 (0016.jp2)
- §2.Killing p-forms / p16 (0019.jp2)
- §3.Examples of Killing p-forms / p24 (0027.jp2)
- Chapter2.Conformal Killing forms / p26 (0029.jp2)
- §4.Conformal Killing p-forms / p26 (0029.jp2)
- §5.A characterization of a conformally flat Riemannian manifold / p31 (0034.jp2)
- §6.Non-existence of conformal Killing p-forms / p38 (0041.jp2)
- §7.Conformal Killing forms on a space of constant curvature / p41 (0044.jp2)
- §8.Other facts / p44 (0047.jp2)
- Chapter3.V-harmonic forms / p48 (0051.jp2)
- §9.L.c.K.-manifolds / p49 (0052.jp2)
- §10.Generalized Hopf manifolds / p67 (0070.jp2)
- §11.Harmonic forms / p72 (0075.jp2)
- §12.V-harmonic forms / p76 (0079.jp2)
- §13.V-harmonic forms in the transversal geometry / p88 (0091.jp2)
- Chapter4.V﹡-harmonic forms and the β-cohomology / p93 (0096.jp2)
- §14.V﹡-harmonic forms / p93 (0096.jp2)
- §15.The β-cohomology / p98 (0101.jp2)
- Bibliography / p108 (0111.jp2)