- Abstract:
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On a complex n-manifold with holomorphic projective connexion, any point has a neighbourhood U of which the space of geodesies has naturally the structure of a (Hausdorff) complex (2n-2)-manifold; it is shown that the complex structure of this auxiliary space encodes, in a sense, the original projective connexion by means of a complete analytic family of and#x2119;n-1's. Rather strikingly, small deformations of the space of geodesies correspond precisely to small deformations of...
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- Publication date:
- 1980
- Type of award:
- DPhil
- Level of award:
- Doctoral
- Awarding institution:
- University of Oxford
- URN:
-
uuid:e29dd99c-0437-4956-8280-89dda76fa3f8
- Local pid:
- td:602800680
- Language:
- English
- Subjects:
- Copyright holder:
- LeBrun, Claude
- Copyright date:
- 1980
- Notes:
- The digital copy of this thesis has been made available thanks to the generosity of Dr Leonard Polonsky
Thesis
Spaces of complex geodesics and related structures
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