SPECTRAL GEOMETRY OF SEMIALGEBRAIC SETS

被引：14

作者：

GROMOV, M ^{[1
]}

机构：

[1] INST HAUTES ETUD SCI,F-91440 BURES SUR YVETTE,FRANCE

来源：

ANNALES DE L INSTITUT FOURIER | 1992年 / 42卷 / 1-2期

关键词：

D O I：

10.5802/aif.1291

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The spectrum of the Laplace operator on algebraic and semialgebraic subsets A in R(N) is studied and the number of small eigenvalues is estimated by the degree of A.

引用

页码：249 / 274

页数：26

共 15 条

[1] RESOLUTION OF SINGULARITIES AND DIVISION OF DISTRIBUTIONS [J].

ATIYAH, MF .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1970, 23 (02) :145-&

[2]

Bernstein I.N., 1969, FUNKT ANAL PRIL, V3, P84

[3]

Bj?rk J.-E., 1979, N HOLLAND MATH LIB, V21

[4]

CHEEGER J, 1983, J DIFFER GEOM, V18, P575

[5]

Cheeger J., 1970, P PRINCETON C HONOR, P195

[6]

CHEEGER J, 1980, P S PURE MATH, V36, P91

[7]

GROMOV M, 1987, ASTERISQUE, P225

[8] CURVATURE, DIAMETER AND BETTI NUMBERS [J].

GROMOV, M .

COMMENTARII MATHEMATICI HELVETICI, 1981, 56 (02) :179-195

[9]

Gromov M., 1980, P LEVYS ISOPERIMETRI

[10]

KHOVANSKII AG, 1991, TRANSLATION MATH MON, V88

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