博士論文

Collapsing of Riemannian manifolds and the eigenvalues of the Laplacian on p-forms

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Collapsing of Riemannian manifolds and the eigenvalues of the Laplacian on p-forms

Call No. (NDL)
UT51-2004-A931
Bibliographic ID of National Diet Library
000004332735
Material type
博士論文
Author
Junya Takahashi [著]
Publisher
[Junya Takahashi]
Publication date
[2002]
Material Format
Paper
Capacity, size, etc.
1冊
Name of awarding university/degree
東京大学,博士 (数理科学)
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博士論文

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Paper

Material Type
博士論文
Author/Editor
Junya Takahashi [著]
Author Heading
高橋, 淳也 タカハシ, ジュンヤ
Publication, Distribution, etc.
Publication Date
[2002]
Publication Date (W3CDTF)
2002
Extent
1冊
Alternative Title
リーマン多様体の崩壊とp-形式のラプラシアンの固有値 リーマン タヨウタイ ノ ホウカイ ト p - ケイシキ ノ ラプラシアン ノ コユウチ
Degree grantor/type
東京大学