Small eigenvalues on p-forms for collapsings of the even-dimensional spheres

Junya Takahashi

doi:10.1007/s002290200288

Small eigenvalues on p-forms for collapsings of the even-dimensional spheres

Junya Takahashi

INF - System Information Sciences

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

We prove that for some p there exist small eigenvalues of the Laplacian on p-forms for collapsings of the even dimensional spheres with curvature bounded below. These collapsings were constructed by T. Yamaguchi.

Original language	English
Pages (from-to)	63-71
Number of pages	9
Journal	Manuscripta Mathematica
Volume	109
Issue number	1
DOIs	https://doi.org/10.1007/s002290200288
Publication status	Published - 2002

Access to Document

10.1007/s002290200288

Cite this

@article{4fb16bdec7b14ded84f6847e4ad675b3,

title = "Small eigenvalues on p-forms for collapsings of the even-dimensional spheres",

abstract = "We prove that for some p there exist small eigenvalues of the Laplacian on p-forms for collapsings of the even dimensional spheres with curvature bounded below. These collapsings were constructed by T. Yamaguchi.",

author = "Junya Takahashi",

year = "2002",

doi = "10.1007/s002290200288",

language = "English",

volume = "109",

pages = "63--71",

journal = "Manuscripta Mathematica",

issn = "0025-2611",

publisher = "Springer New York",

number = "1",

}

TY - JOUR

T1 - Small eigenvalues on p-forms for collapsings of the even-dimensional spheres

AU - Takahashi, Junya

PY - 2002

Y1 - 2002

N2 - We prove that for some p there exist small eigenvalues of the Laplacian on p-forms for collapsings of the even dimensional spheres with curvature bounded below. These collapsings were constructed by T. Yamaguchi.

AB - We prove that for some p there exist small eigenvalues of the Laplacian on p-forms for collapsings of the even dimensional spheres with curvature bounded below. These collapsings were constructed by T. Yamaguchi.

UR - http://www.scopus.com/inward/record.url?scp=0036026164&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0036026164&partnerID=8YFLogxK

U2 - 10.1007/s002290200288

DO - 10.1007/s002290200288

M3 - Article

AN - SCOPUS:0036026164

SN - 0025-2611

VL - 109

SP - 63

EP - 71

JO - Manuscripta Mathematica

JF - Manuscripta Mathematica

IS - 1

ER -

Small eigenvalues on p-forms for collapsings of the even-dimensional spheres

Abstract

Access to Document

Other files and links

Fingerprint

Cite this