본문 바로가기
KERD
논문KCI 등재

Polarity of cohomogeneity two actions on negatively curved space forms

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

We study the polarity of cohomogeneity two isometric actions on Riemannian manifolds of constant negative curvature.

Abstract

We study the polarity of cohomogeneity two isometric actions on Riemannian manifolds of constant negative curvature.

참고문헌 (23)

  1. G. E. Bredon, "Introduction to Compact Transformation Groups" (1972), Academic Press
  2. W. Byers, "Isometry groups of manifolds of negative curvature", Proc. Amer. Math. Soc., 54, pp.281~185 (1976)[DOI]
  3. J. Dadok, "Polar coordinates induced by actions of compact Lie groups", Trans. Amer. Math. Soc., 288(1), pp.125~137 (1985)[DOI]
  4. J. C. Diaz Ramos, "Polar actions on symmetric spaces, in Recent trends in Lorentzian geometry;Springer Proc. Math. Stat., 26", pp.315~334 (2013), Springer
  5. J. C. Diaz Ramos, "Polar actions on complex hyperbolic spaces", Math. Z., 287(3-4), pp.1183~1213 (2017)[DOI]
  6. "Geodesic flows in manifolds of nonpositive curvature"[URL]
  7. P. Eberlein, "Visibility manifolds", Pacific J. Math., 46, pp.45~109 (1973)[DOI]
  8. C. Gorodski, "Isometric actions on spheres with an orbifold quotient", Math. Ann., 365(3-4), pp.1041~1067 (2016)[DOI]
  9. A. Kollross, "A classification of hyperpolar and cohomogeneity one actions", Trans. Amer. Math. Soc., 354(2), pp.571~612 (2002)[DOI]
  10. A. Kollross, "Polar actions on symmetric spaces of higher rank", Bull. Lond. Math. Soc., 45(2), pp.341~350 (2013)[DOI]
  11. A. Lytchak, "Polar foliations of symmetric spaces", Geom. Funct. Anal., 24(4), pp.1298~1315 (2014)
  12. P. W. Michor, "Isometric actions of Lie groups and invariants" (1996)
  13. R. Mirzaie, "On negatively curved G-manifolds of low cohomogeneity", Hokkaido Math. J., 38(4), pp.797~803 (2009)[DOI]
  14. Reza Mirzaie, "ON RIEMANNIAN MANIFOLDS OF CONSTANT NEGATIVE CURVATURE", 대한수학회지, 48(1), pp.23~31 (2011), 대한수학회
  15. R. Mirzaie, "On homogeneous submanifolds of negatively curved Riemannian manifolds", Publ. Math. Debrecen, 82(2), pp.267~275 (2013)[DOI]
  16. R. Mirzaie, "On cohomogeneity one flat Riemannian manifolds", Glasg. Math. J., 44(2), pp.185~190 (2002)
  17. R. S. Palais, "A general theory of canonical forms", Trans. Amer. Math. Soc., 300(2), pp.771~789 (1987)[DOI]
  18. F. Podesta, "Some topological properties of cohomogeneity one manifolds with negative curvature", Ann. Global Anal. Geom., 14(1), pp.69~79 (1996)[DOI]
  19. F. Podesta, "Polar actions on rank-one symmetric spaces", J. Differential Geom., 53, pp.131~175 (1999)[DOI]
  20. F. Podesta, "Polar and coisotropic actions on Kahler manifolds", Trans. Amer. Math. Soc., 354(5), pp.1759~1781 (2002)[DOI]
  21. A. J. Di Scala, "The geometry of homogeneous submanifolds of hyperbolic space", Math. Z., 237(1), pp.199~209 (2001)[DOI]
  22. J. Szenthe, "A generalization of the Weyl group", Acta Math. Hungar., 41(3-4), pp.347~357 (1983)[DOI]
  23. J. Szenthe, "Orthogonally transversal submanifolds and the generalizations of the Weyl group", Period. Math. Hungar., 15(4), pp.281~299 (1984)[DOI]

관련 논문AI추천

이 간행물의 다른 논문 (21건)