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Volumn 30, Issue 1, 2012, Pages 33-41

Curvature weighted metrics on shape space of hypersurfaces in n-space

Author keywords

Curvature weighted metric; Gauss curvature; Hypersurface; Primary; Shape space

Indexed keywords


EID: 84155180927     PISSN: 09262245     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.difgeo.2011.10.002     Document Type: Article
Times cited : (12)

References (15)
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    • Martin Bauer, Almost local metrics on shape space of surfaces, PhD thesis, University of Vienna, 2010.
    • (2010)
    • Martin, B.1
  • 5
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    • The action of the diffeomorphism group on the space of immersions
    • Cervera V., Mascaró F., Michor P.W. The action of the diffeomorphism group on the space of immersions. Differential Geom. Appl. 1991, 1(4):391-401.
    • (1991) Differential Geom. Appl. , vol.1 , Issue.4 , pp. 391-401
    • Cervera, V.1    Mascaró, F.2    Michor, P.W.3
  • 9
    • 0003023917 scopus 로고    scopus 로고
    • The Convenient Setting of Global Analysis
    • American Mathematical Society, Providence, RI
    • Kriegl Andreas, Michor Peter W. The Convenient Setting of Global Analysis. Mathematical Surveys and Monographs 1997, vol. 53. American Mathematical Society, Providence, RI.
    • (1997) Mathematical Surveys and Monographs , vol.53
    • Kriegl, A.1    Michor, P.W.2
  • 10
    • 84155186967 scopus 로고    scopus 로고
    • Topics in Differential Geometry
    • American Mathematical Society, Providence, RI
    • Michor Peter W. Topics in Differential Geometry. Graduate Studies in Mathematics 2008, vol. 93. American Mathematical Society, Providence, RI.
    • (2008) Graduate Studies in Mathematics , vol.93
    • Michor, P.W.1
  • 11
    • 29244431608 scopus 로고    scopus 로고
    • Vanishing geodesic distance on spaces of submanifolds and diffeomorphisms
    • (electronic)
    • Michor Peter W., Mumford David Vanishing geodesic distance on spaces of submanifolds and diffeomorphisms. Doc. Math. 2005, 10:217-245. (electronic).
    • (2005) Doc. Math. , vol.10 , pp. 217-245
    • Michor, P.W.1    Mumford, D.2
  • 12
    • 31644434690 scopus 로고    scopus 로고
    • Riemannian geometries on spaces of plane curves
    • Michor Peter W., Mumford David Riemannian geometries on spaces of plane curves. J. Eur. Math. Soc. (JEMS) 2006, 8:1-48.
    • (2006) J. Eur. Math. Soc. (JEMS) , vol.8 , pp. 1-48
    • Michor, P.W.1    Mumford, D.2
  • 13
    • 34249788990 scopus 로고    scopus 로고
    • An overview of the Riemannian metrics on spaces of curves using the Hamiltonian approach
    • Michor Peter W., Mumford David An overview of the Riemannian metrics on spaces of curves using the Hamiltonian approach. Appl. Comput. Harmon. Anal. 2007, 23(1):74-113.
    • (2007) Appl. Comput. Harmon. Anal. , vol.23 , Issue.1 , pp. 74-113
    • Michor, P.W.1    Mumford, D.2
  • 14
    • 84155181443 scopus 로고    scopus 로고
    • The geometry of the second fundamental form: Curvature properties and variational aspects
    • PhD thesis, Katholieke Universiteit Leuven, 2008.
    • Steven Verpoort, The geometry of the second fundamental form: Curvature properties and variational aspects, PhD thesis, Katholieke Universiteit Leuven, 2008.
    • Steven, V.1
  • 15
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    • An interior point algorithm for large-scale nonlinear optimization with applications in process engineering
    • PhD thesis, Carnegie Mellon University
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    • Wächter, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.