Electronic Resource
Springer
Annals of global analysis and geometry
16 (1998), S. 189-202
ISSN:
1572-9060
Keywords:
Codazzi tensor
;
index method
;
topologyof surfaces
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract We introduce the notion of (0,m)-Codazzi tensors relative to an affine connection which extends the well known concept for m = 2. On compact Riemannian surfaces of genus γ we determine the dimension of the R-vector space of traceless Codazzi tensors, which depends on m and γ only, additionally we extend these result for genus zero. We give some exemplary applications to submanifolds in affine and in Riemannian geometry and to Weyl geometries.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1006582620941
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