scholarly journals Twisted cotangent bundle of Hyperkähler manifolds (with an appendix by Simone Diverio)

2021 ◽  
Vol 8 ◽  
pp. 1429-1457
Author(s):  
Fabrizio Anella ◽  
Andreas Höring
Keyword(s):  
Cotangent Bundle ◽  
Hyperkähler Manifolds

scholarly journals Contraction centers in families of hyperkähler manifolds

2021 ◽  
Vol 27 (4) ◽  
Author(s):  
Ekaterina Amerik ◽  
Misha Verbitsky
Keyword(s):  
Hyperkähler Manifolds

scholarly journals Horizontal lifts from a manifold to its cotangent bundle

1967 ◽  
Vol 19 (2) ◽  
pp. 185-198 ◽  
Author(s):  
K. YANO ◽  
E. M. PATTERSON
Keyword(s):  
Cotangent Bundle

scholarly journals Affine varieties, singularities and the growth rate of wrapped Floer cohomology

2018 ◽  
Vol 10 (03) ◽  
pp. 493-530
Author(s):  
Mark McLean
Keyword(s):  
Growth Rate ◽  
Cotangent Bundle ◽  
Betti Numbers ◽  
Symplectic Manifolds ◽  
Isolated Singularity ◽  
Contact Manifolds ◽  
Floer Cohomology ◽  
Complex Singularities ◽  
Smooth Affine ◽  
Simply Connected

In this paper, we give partial answers to the following questions: Which contact manifolds are contactomorphic to links of isolated complex singularities? Which symplectic manifolds are symplectomorphic to smooth affine varieties? The invariant that we will use to distinguish such manifolds is called the growth rate of wrapped Floer cohomology. Using this invariant we show that if [Formula: see text] is a simply connected manifold whose unit cotangent bundle is contactomorphic to the link of an isolated singularity or whose cotangent bundle is symplectomorphic to a smooth affine variety then M must be rationally elliptic and so it must have certain bounds on its Betti numbers.

scholarly journals SOME NOTES ON THE MODIFIED RIEMANNIAN EXTENSION g ̃_(∇,c) ON COTANGENT BUNDLE

2020 ◽  
Vol 20 (4) ◽  
pp. 931-940
Author(s):  
HASIM CAYIR
Keyword(s):  
Cotangent Bundle ◽  
Vector Fields ◽  
Lie Derivatives ◽  
Complete And Vertical Lifts

In this paper, we define the modified Riemannian extension g ̃_(∇,c) in the cotangent bundle T^* M, which is completely determined by its action on complete lifts of vector fields. Later, we obtain the covarient and Lie derivatives applied to the modified Riemannian extension with respect to the complete and vertical lifts of vector and kovector fields, respectively.

scholarly journals A new class of metrics on the cotangent bundle

2020 ◽  
Vol 13(62) (1) ◽  
pp. 285-302
Author(s):  
Abderrahim Zagane ◽  
Keyword(s):  
Cotangent Bundle ◽  
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