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Spaces of complex geodesics and related structures

Abstract:

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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Institution:
University of Oxford
Department:
Mathematical and Physical Sciences Division

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Role:
Supervisor
Role:
Supervisor
Publication date:
1980
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Barcode:
602800680
URN:
uuid:e29dd99c-0437-4956-8280-89dda76fa3f8
Local pid:
td:602800680

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