Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Collapsing manifolds obtained by Kummer-type constructions   We construct F-structures on a Bott manifold and on some other manifolds
obtained by Kummer-type constructions. We also prove that if M=E#X, where E is
a fiber bundle with structure group G and a fiber admitting a G-invariant
metric of non-negative sectional curvature and X admits an F-structure with one
trivial covering, then one can construct on M a sequence of metrics with
sectional curvature uniformly bounded from below and volume tending to zero
(i.e. $Vol_K$ (M)=0). As a corollary we prove that all the elements in the Spin
cobordism group can be represented by manifolds M with $Vol_K$ (M)==0.

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The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int