메뉴 건너뛰기




Volumn 126, Issue 6, 1998, Pages 1845-1850

Eigenvalues of the form valued laplacian for riemannian submersions

Author keywords

Eigenvalues; Laplacian; Riemannian submersion

Indexed keywords


EID: 22044439820     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-98-04733-9     Document Type: Article
Times cited : (9)

References (7)
  • 1
    • 0010057145 scopus 로고    scopus 로고
    • The spectral geometry of the Hopf fibration
    • CMP 97:04
    • [GLP] P. B. Gilkey, J. V. Leahy, and J. H. Park, The spectral geometry of the Hopf fibration, J. Phys. A 29 (1996), 5645-5656. CMP 97:04
    • (1996) J. Phys. a , vol.29 , pp. 5645-5656
    • Gilkey, P.B.1    Leahy, J.V.2    Park, J.H.3
  • 3
    • 0000365880 scopus 로고    scopus 로고
    • Riemannian submersions which preserve the eigenforms of the Laplacian
    • MR 97h:58173
    • [GP] P. B. Gilkey and J. H. Park, Riemannian submersions which preserve the eigenforms of the Laplacian, Illinois J. Math. 40 (1996), 194-201. MR 97h:58173
    • (1996) Illinois J. Math. , vol.40 , pp. 194-201
    • Gilkey, P.B.1    Park, J.H.2
  • 4
    • 84972545680 scopus 로고
    • Riemannian submersions commuting with the Laplacian
    • MR 80c:53047
    • [Gols] S. I. Goldberg and T. Ishihara, Riemannian submersions commuting with the Laplacian, J. Diff. Geo. 13 (1978), 139-144. MR 80c:53047
    • (1978) J. Diff. Geo. , vol.13 , pp. 139-144
    • Goldberg, S.I.1    Ishihara, T.2
  • 5
    • 0002179237 scopus 로고
    • Some eigenforms of the Laplace-Beltrami operators in a Riemannian submersion
    • MR 81j:58085
    • [Mu] Y. Muto, Some eigenforms of the Laplace-Beltrami operators in a Riemannian submersion, J. Korean Math. Soc. 15 (1978), 39-57. MR 81j:58085
    • (1978) J. Korean Math. Soc. , vol.15 , pp. 39-57
    • Muto, Y.1
  • 6
    • 84972514588 scopus 로고
    • Riemannian submersion and the Laplace-Beltrami operator
    • MR 80a:53064
    • [Mua] _, Riemannian submersion and the Laplace-Beltrami operator, Kodai Math. J. 1 (1978), 329-338. MR 80a:53064
    • (1978) Kodai Math. J. , vol.1 , pp. 329-338
  • 7
    • 0002439907 scopus 로고
    • Manifold maps commuting with the Laplacian
    • MR 51:1671
    • [Wa] B. Watson, Manifold maps commuting with the Laplacian, J. Diff. Geo. 8 (1973), 85-94. MR 51:1671
    • (1973) J. Diff. Geo. , vol.8 , pp. 85-94
    • Watson, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.