scholarly journals Counterexamples to the $$L^p$$-Calderón–Zygmund estimate on open manifolds

2019 ◽  
Vol 57 (1) ◽  
pp. 61-70
Author(s):  
Siran Li
Keyword(s):  
Open Manifolds

Constructing symplectic manifolds

2017 ◽  
Author(s):  
Dusa McDuff ◽  
Dietmar Salamon
Keyword(s):  
Final Section ◽  
Symplectic Manifolds ◽  
Homotopy Equivalence ◽  
Codimension Two ◽  
Open Manifolds ◽  
Connected Sums ◽  
Symplectic Forms ◽  
Ambient Manifold ◽  
Blowing Up ◽  
Four Manifolds

This chapter examines various ways to construct symplectic manifolds and submanifolds. It begins by studying blowing up and down in both the complex and the symplectic contexts. The next section is devoted to a discussion of fibre connected sums and describes Gompf’s construction of symplectic four-manifolds with arbitrary fundamental group. The chapter also contains an exposition of Gromov’s telescope construction, which shows that for open manifolds the h-principle rules and the inclusion of the space of symplectic forms into the space of nondegenerate 2-forms is a homotopy equivalence. The final section outlines Donaldson’s construction of codimension two symplectic submanifolds and explains the associated decompositions of the ambient manifold.

On Complete Open Manifolds of Positive Curvature

1969 ◽  
Vol 90 (1) ◽  
pp. 75 ◽  
Author(s):  
Detlef Gromoll ◽  
Wolfgang Meyer
Keyword(s):  
Positive Curvature ◽  
Open Manifolds

scholarly journals Normal subgroups of diffeomorphism and homeomorphism groups of ℝn and other open manifolds

2011 ◽  
Vol 31 (6) ◽  
pp. 1835-1847 ◽  
Author(s):  
PAUL A. SCHWEITZER, S. J.
Keyword(s):  
Normal Subgroup ◽  
Compact Manifold ◽  
Normal Subgroups ◽  
Open Manifold ◽  
Open Manifolds ◽  
Group Of Homeomorphisms ◽  
Homeomorphism Groups

AbstractWe determine all the normal subgroups of the group of Cr diffeomorphisms of ℝn, 1≤r≤∞, except when r=n+1 or n=4, and also of the group of homeomorphisms of ℝn ( r=0). We also study the group A0 of diffeomorphisms of an open manifold M that are isotopic to the identity. If M is the interior of a compact manifold with non-empty boundary, then the quotient of A0 by the normal subgroup of diffeomorphisms that coincide with the identity near to a given end e of M is simple.

Imbedding open manifolds in compact ones

1978 ◽  
Vol 19 (2) ◽  
pp. 197-211 ◽  
Author(s):  
A. Z. Dymov
Keyword(s):  
Open Manifolds

scholarly journals Embeddings of open manifolds

1999 ◽  
Vol 351 (6) ◽  
pp. 2353-2373
Author(s):  
Nancy Cardim
Keyword(s):  
Open Manifolds
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