메뉴 건너뛰기
Czechoslovak Mathematical Journal
Volumn 49, Issue 2, 1999, Pages 233-240
The Bochner Laplacian, Riemannian submersions, heat content asymptotics, and heat equation asymptotics
Author keywords

[No Author keywords available]
Indexed keywords

EID: 0034369997     PISSN: 00114642     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022439916298     Document Type: Article
Times cited : (2)
References (10)
  • 1
    • 84972545964 scopus 로고
    • Laplacians and Riemannian submersions with totally geodesic fibres
    • [1] L. Bérard Bergery and J. P. Bourguignon: Laplacians and Riemannian submersions with totally geodesic fibres. Illinois Journal of Mathematics 26 (1982), 181-200.
    • (1982) Illinois Journal of Mathematics , vol.26 , pp. 181-200
    • Bérard Bergery, L.1    Bourguignon, J.P.2
  • 2
    • 0001233625 scopus 로고    scopus 로고
    • Heat content asymptotics of the Dirichlet Laplacian
    • [2] M. Van den Berg and P. Gilkey: Heat content asymptotics of the Dirichlet Laplacian. To appear in Communications in Analysis and Geometry; see also Heat content asymptotics of a Riemannian manifold with boundary J. Funct. Analy. 30 (1994), 48-71.
    • Communications in Analysis and Geometry
    • Van Den Berg, M.1    Gilkey, P.2
  • 3
    • 0001233625 scopus 로고    scopus 로고
    • Heat content asymptotics of a Riemannian manifold with boundary
    • [2] M. Van den Berg and P. Gilkey: Heat content asymptotics of the Dirichlet Laplacian. To appear in Communications in Analysis and Geometry; see also Heat content asymptotics of a Riemannian manifold with boundary J. Funct. Analy. 30 (1994), 48-71.
    • (1994) J. Funct. Analy. , vol.30 , pp. 48-71
  • 4
    • 0004058055 scopus 로고
    • Springer Verlag ISBN 0-387-15279-2
    • [3] A. Besse: Einstein Manifolds. Springer Verlag (1987) ISBN 0-387-15279-2.
    • (1987) Einstein Manifolds
    • Besse, A.1
  • 5
    • 84953832735 scopus 로고
    • The asymptotics of the Laplacian on a manifold with boundary
    • [4] T. Branson and P. Gilkey: The asymptotics of the Laplacian on a manifold with boundary. Comm on PDE 15 (1990), 245-272.
    • (1990) Comm on PDE , vol.15 , pp. 245-272
    • Branson, T.1    Gilkey, P.2
  • 6
    • 0001846518 scopus 로고    scopus 로고
    • The asymptotics of the Laplacian on a manifold with boundary II
    • [5] T. Branson, P. Gilkey and D. Vassilevich: The asymptotics of the Laplacian on a manifold with boundary II. Bollettino d'Unione Matematica 7 II-B (1997), 39-67.
    • (1997) Bollettino d'Unione Matematica , vol.7 , Issue.2 B , pp. 39-67
    • Branson, T.1    Gilkey, P.2    Vassilevich, D.3
  • 7
    • 0000365880 scopus 로고    scopus 로고
    • Riemannian submersions which preserve the eigenforms of the Laplacian
    • [6] P. Gilkey and J. H. Park: Riemannian submersions which preserve the eigenforms of the Laplacian. Illinois Journal of Mathematics 40 (1996), 194-201.
    • (1996) Illinois Journal of Mathematics , vol.40 , pp. 194-201
    • Gilkey, P.1    Park, J.H.2
  • 8
    • 84972545680 scopus 로고
    • Riemannian submersions commuting with the Laplacian
    • [7] S. I. Goldberg and T. Ishihara: Riemannian submersions commuting with the Laplacian. J. Diff. Geo. 13 (1978), 139-144.
    • (1978) J. Diff. Geo. , vol.13 , pp. 139-144
    • Goldberg, S.I.1    Ishihara, T.2
  • 9
    • 84972530647 scopus 로고
    • Curvature and the eigenvalues of the Laplacian
    • [8] H. P. McKean and I. M. Singer: Curvature and the eigenvalues of the Laplacian. J. Diff. Geo. 1 (1967), 43-69.
    • (1967) J. Diff. Geo. , vol.1 , pp. 43-69
    • McKean, H.P.1    Singer, I.M.2
  • 10
    • 0002439907 scopus 로고
    • Manifold maps commuting with the Laplacian
    • [9] B. Watson: Manifold maps commuting with the Laplacian. J. Diff. Geo. 8 (1973), 85-94.
    • (1973) J. Diff. Geo. , vol.8 , pp. 85-94
    • Watson, B.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.