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Volumn 38, Issue 2, 1998, Pages 287-293

The Morse index theorem for Carnot-Carathéodory spaces

(1)  Kishimoto, Iwao a  

a NONE

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EID: 0032275317     PISSN: 0023608X     EISSN: None     Source Type: Journal    
DOI: 10.1215/kjm/1250518119     Document Type: Article
Times cited : (3)

References (12)
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    • 0002299742 scopus 로고    scopus 로고
    • Carnot-Carathéodory spaces seen from within
    • edited by A. Bellaîche and J-J. Risler, Birkhäuser
    • M. Gromov, Carnot-Carathéodory spaces seen from within, in "Sub-Riemannian Geometry" edited by A. Bellaîche and J-J. Risler, Birkhäuser, 1996.
    • (1996) Sub-Riemannian Geometry
    • Gromov, M.1
  • 4
    • 84972507782 scopus 로고
    • Some regularity theorems for Carnot-Carathéodory metrics
    • U. Hamenstädt, Some regularity theorems for Carnot-Carathéodory metrics, J. Diff. Geom., 32 (1990) 819-850.
    • (1990) J. Diff. Geom. , vol.32 , pp. 819-850
    • Hamenstädt, U.1
  • 5
    • 84972527025 scopus 로고
    • Calculus of variations via the Griffiths formalism
    • L. Hsu, Calculus of variations via the Griffiths formalism, J. Diff. Geom., 36 (1992), 551-589.
    • (1992) J. Diff. Geom. , vol.36 , pp. 551-589
    • Hsu, L.1
  • 7
    • 0004341311 scopus 로고
    • John Wiley & Sons
    • S. Kobayashi and K. Nomizu, Foundation of differential geometry, vol 1 (1963), vol 2 (1969), John Wiley & Sons.
    • (1969) Foundation of Differential Geometry , vol.2
  • 8
    • 0003252211 scopus 로고
    • Morse theory
    • Princeton Univ. Press
    • J. Milnor, Morse theory, Ann. Math. Studies 51, Princeton Univ. Press, 1963.
    • (1963) Ann. Math. Studies , vol.51
    • Milnor, J.1
  • 10
    • 84972551517 scopus 로고
    • Sub-Riemannian geometry
    • R. S. Strichartz, Sub-Riemannian geometry, J. Diff. Geom., 24 (1986), 221-263.
    • (1986) J. Diff. Geom. , vol.24 , pp. 221-263
    • Strichartz, R.S.1
  • 11
    • 84972492827 scopus 로고
    • Corrections to "Sub-Riemannian geometry"
    • R. S. Strichartz, Corrections to "Sub-Riemannian geometry", J. Diff. Geom., 30 (1989), 595-596.
    • (1989) J. Diff. Geom. , vol.30 , pp. 595-596
    • Strichartz, R.S.1
  • 12
    • 84972549548 scopus 로고
    • On a constrained variational problem and the spaces of horizontal paths
    • Zhong Ge, On a constrained variational problem and the spaces of horizontal paths, Pacific J. Math, 149 (1991), 61-94.
    • (1991) Pacific J. Math , vol.149 , pp. 61-94
    • Ge, Z.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.