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Volumn 45, Issue 4, 2002, Pages 450-461

Linear approximation of the first eigenvalue on compact manifolds

Author keywords

First eigenvalue; Linear approximation; Riemannian manifolds

Indexed keywords


EID: 0036552987     PISSN: 10069283     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02872333     Document Type: Article
Times cited : (7)

References (12)
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    • Chen, M.F.1    Wang, F.Y.2
  • 4
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    • Chen, M.F.1
  • 5
    • 0001151482 scopus 로고
    • On estimate of the first eigenvalue of a compact Riemannian manifold
    • Zhong, J. Q., Yang, H. C., On estimate of the first eigenvalue of a compact Riemannian manifold, Science in China, Ser. A, 1984, 12: 1251-1265.
    • (1984) Science in China, Ser. A , vol.12 , pp. 1251-1265
    • Zhong, J.Q.1    Yang, H.C.2
  • 6
    • 0040626313 scopus 로고    scopus 로고
    • Lower bound estimates of the first eigenvalue for compact manifolds with positive Ricci curvature
    • Yang, D. G., Lower bound estimates of the first eigenvalue for compact manifolds with positive Ricci curvature, Pacific J. Math., 1999, 190(2): 383-398.
    • (1999) Pacific J. Math. , vol.190 , Issue.2 , pp. 383-398
    • Yang, D.G.1
  • 7
    • 0002139525 scopus 로고
    • Estimate on lower bound of the first eigenvalue of a compact Riemannian manifold
    • Cai, K. R., Estimate on lower bound of the first eigenvalue of a compact Riemannian manifold, Chin. Ann. Math. (B), 1991, 12(3): 267-271.
    • (1991) Chin. Ann. Math. (B) , vol.12 , Issue.3 , pp. 267-271
    • Cai, K.R.1
  • 8
    • 17944384122 scopus 로고    scopus 로고
    • Eigenvalue estimate on a compact Riemann manifolds
    • Zhao, D., Eigenvalue estimate on a compact Riemann manifolds, Science in China, Ser. A, 1999, 42(9): 897-904.
    • (1999) Science in China, Ser. A , vol.42 , Issue.9 , pp. 897-904
    • Zhao, D.1
  • 9
    • 52549104564 scopus 로고    scopus 로고
    • Variational formulas and approximation theorems for the first eigenvalue in dimension one
    • Chen, M. F., Variational formulas and approximation theorems for the first eigenvalue in dimension one, Science in China, Ser. A, 2001, 44(4): 409-418.
    • (2001) Science in China, Ser. A , vol.44 , Issue.4 , pp. 409-418
    • Chen, M.F.1
  • 10
    • 0042762343 scopus 로고    scopus 로고
    • Analytic proof of dual variational formula for the first eigenvalue in dimension one
    • Chen, M. F., Analytic proof of dual variational formula for the first eigenvalue in dimension one, Science in China, Ser. A, 1999, 42(8): 805-815.
    • (1999) Science in China, Ser. A , vol.42 , Issue.8 , pp. 805-815
    • Chen, M.F.1
  • 11
    • 84972511906 scopus 로고
    • On the spectral gap for compact manifolds
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  • 12
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    • Some new results on eigenvectors via dimension, diameter and Ricci curvature
    • Bakry, D., Qian, Z. M., Some new results on eigenvectors via dimension, diameter and Ricci curvature, Adv. Math., 2000, 155(1): 98-153.
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    • Bakry, D.1    Qian, Z.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.