Grouptheoretical Characterization of Projective Space and Conformal Space
Keyword(s):
In this paper we characterize a projective space and a conformal space, namely a space of inversive geometry of point and sphere, from the standpoint of a homogeneous space. In such spaces a covariant differential of a vectorfield is not a vector, contrary to the case stated in my previous paper “On the vector in homogeneous spaces.” (This journal vol. 5. This paper will be referred to as [1] below.) But when we restrict a rotation about a point to a certain subgroup of the full rotation group, we get a covariant differential which is also a vector, and this situation holds good in a general homogeneous space.
2000 ◽
Vol 218
(1-3)
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pp. 25-31
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Keyword(s):
2005 ◽
Vol 16
(09)
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pp. 941-955
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Keyword(s):
1988 ◽
Vol 144
(4)
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pp. 328-332
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1992 ◽
Vol 128
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pp. 65-93
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2021 ◽
pp. 296-304