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  • (locally) symmetric immersions  (1)
  • normal flow space forms  (1)
  • strongly normal and minimal unit vector fields  (1)
Collection
Keywords
Publisher
Years
  • 1
    Electronic Resource
    Electronic Resource
    Examples of Minimal Unit Vector Fields (2000)
    Springer
    Annals of global analysis and geometry 18 (2000), S. 385-404 
    Details
    ISSN: 1572-9060
    Keywords: geodesic ; normal ; strongly normal and minimal unit vector fields
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We provide a series of examples of Riemannian manifoldsequipped with a minimal unit vector field.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1006788819180
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Locally symmetric immersions (1999)
    Springer
    Czechoslovak mathematical journal 49 (1999), S. 491-506 
    Details
    ISSN: 1572-9141
    Keywords: reflections ; (locally) symmetric immersions ; extrinsic (locally) symmetric sub-manifolds ; parallel immersions ; (locally) symmetric spaces
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We use reflections with respect to submanifolds and related geometric results to develop, inspired by the work of Ferus and other authors, in a unified way a local theory of extrinsic symmetric immersions and submanifolds in a general analytic Riemannian manifold and in locally symmetric spaces. In particular we treat the case of real and complex space forms and study additional relations with holomorphic and symplectic reflections when the ambient space is almost Hermitian. The global case is also taken into consideration and several examples are given.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1022463117401
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  • 3
    Electronic Resource
    Electronic Resource
    New examples of weakly symmetric spaces (1998)
    Springer
    Monatshefte für Mathematik 125 (1998), S. 309-314 
    Details
    ISSN: 1436-5081
    Keywords: 53C25 ; 53C30 ; Weakly symmetric spaces ; killing transversally symmetric spaces ; normal flow space forms
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We provide some new examples of weakly symmetric spaces inside the class of complete, simply connected Riemannian manifolds equipped with a complete unit Killing vector field such that the reflections with respect to its flow lines are global isometries.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01305345
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