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J-GLOBAL ID：201902276146530175   Reference number：19A1070777

L2-Harmonic Forms on Incomplete Riemannian Manifolds with Positive Ricci Curvature

正のRicci曲率を持つ不完全なriemannian多様体上のL2調和形式【JST・京大機械翻訳】

Author (1)： Takahashi Junya (Research Center for Pure and Applied Mathematics, Graduate School of Information Sciences, Tohoku University, 6-3-09, Aoba, Sendai 980-8579, Japan)
Material： Mathematics (Web)
Volume： 6  Issue： 5  Page： 75  Publication year： 2018 
JST Material Number： U7239A  ISSN： 2227-7390  Document type： Article
Article type： 原著論文  Country of issue： Switzerland (CHE)  Language： ENGLISH (EN)

Abstract/Point： We construct an incomplete Rie...

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Thesaurus term： *curvature ,  *manifold(mathematics) ,  Riemannian space

Author keywords (5)： L²-harmonic forms ,  Hodge-Laplacian ,  manifold with singularity ,  L²-Stokes theorem ,  capacity

JST classification (1)： Fluctuation phenomena,random process,Brownian motion,and transport process  (BA08020B)

Reference (22)：

• Jost, J. Riemannian Geometry and Geometric Analysis. In Universitext, 6th ed.; Springer: Berlin, Germany, 2011.
• Cheeger, J. On the Hodge theory of Riemannian pseudomanifolds. Proceedings of Symposia in Pure Mathematics; AMS: Providence, RI, USA, 1980; Volume 36, pp. 91-146.
• Cheeger, J. Spectral geometry of singular Riemannian spaces. J. Differ. Geom. 1983, 1, 575-657.
• Cheeger, J.; Goresky, M.; MacPherson, R. L2-cohomology and intersection homology of singular algebraic varieties, Seminar on Differential Geometry. Ann. Math. Stud. 1982, 102, 303-340.
• Bei, F. General perversities and L2 de Rham and Hodge theorems for stratified pseudomanifolds. Bull. Sci. Math. 2014, 138, 2-40.

Terms in the title (4)： 曲率 ,  多様体 ,  調和 ,  形式