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[PDF] Top 20 CONTACT STRUCTURES ON OPEN 3-MANIFOLDS

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CONTACT STRUCTURES ON OPEN 3-MANIFOLDS

CONTACT STRUCTURES ON OPEN 3-MANIFOLDS

... tight contact structures on compact mani- folds is due to the development of convex surface theory, the usefulness of which is due to Eliashberg’s ...tight contact structures on a Haken ... See full document

72

A survey of symplectic and contact topology

A survey of symplectic and contact topology

... a contact invarinat on a 3-manifold that lives in Heegard-Floer homology ...fillable contact structures, which are necessarily tight ...tight contact structures on trivial circle ... See full document

15

Rank and k nullity of contact manifolds

Rank and k nullity of contact manifolds

... regular contact manifold with structure tensors (α, Z, J, g) is Sasakian if and only if the space of orbits of Z is a Kähler manifold with projected tensors ...K-contact structures which are not ... See full document

10

Hamilton, Mark
  

(2008):


	On symplectic 4-manifolds and contact 5-manifolds.


Dissertation, LMU München: Fakultät für Mathematik, Informatik und Statistik

Hamilton, Mark (2008): On symplectic 4-manifolds and contact 5-manifolds. Dissertation, LMU München: Fakultät für Mathematik, Informatik und Statistik

... 4- manifolds with c 2 1 > 0, negative signature and even divisibility (Theorem ...these manifolds have several inequivalent symplectic structures, whose canonical classes have different ... See full document

209

Invariant f structures on the flag  manifolds
SO(n)/SO(2)×SO(n−3)

Invariant f structures on the flag manifolds SO(n)/SO(2)×SO(n−3)

... [14] V. F. Kirichenko, Methods of generalized Hermitian geometry in the theory of almost contact man- ifolds, Problems of Geometry, Vol. 18, Itogi Nauki i Tekhniki, Akad. Nauk SSSR Vsesoyuz. Inst. Nauchn. i Tekhn. ... See full document

15

Contact systems and contact integrators : a thesis presented in partial fulfilment of the requirements for the degree of Doctor of Philosophy in Mathematics at Massey University, Palmerston North, New Zealand

Contact systems and contact integrators : a thesis presented in partial fulfilment of the requirements for the degree of Doctor of Philosophy in Mathematics at Massey University, Palmerston North, New Zealand

... mathematical structures needed to study Hamiltonian ...symplectic manifolds, symplectic diffeomorphisms and briefly describe the concepts of Hamiltonian vector fields and Hamiltonian ...[2, 3, 55, ... See full document

178

Foliations by minimal surfaces and contact structures on certain closed 3 manifolds

Foliations by minimal surfaces and contact structures on certain closed 3 manifolds

... In [8] the bundle-like hypothesis as well as constant curvature restrictions are assumed. Because of the work in [2], the dimensional restriction, the theo- rem of Sullivan, and the assumption that µ is basic, these are ... See full document

8

Space time manifolds and contact structures

Space time manifolds and contact structures

... maximal integral curves of the regular contact vector On the topology of such spacetlmes, we know that Open sets of the form l+p N l-q for any p,q of any spacetlme N form a basis of a to[r] ... See full document

9

On a class of contact Riemannian manifolds

On a class of contact Riemannian manifolds

... no contact Riemannian structures of constant curvature unless the constant is 1 and in which case the structure is ...a 3-dimensional locally symmetric contact Riemann- ian manifold is either ... See full document

8

On contact conformal curvature tensor in trans-Sasakian manifolds

On contact conformal curvature tensor in trans-Sasakian manifolds

... hand, contact conformal curvature tensor field was introduced and defined by Jeong et ...fibration. Contact conformal curvature tensor has also been studied in [10] and ... See full document

9

Chern classes of integral submanifolds of some contact manifolds

Chern classes of integral submanifolds of some contact manifolds

... Let Ᏸ be the contact distribution of ˜ M, defined by the equation η = 0. The study of the integral submanifolds of Ᏸ is very difficult for, at least, three reasons: (a) their abundance (see, e.g., [1, 5, 8]), (b) the ... See full document

10

Invariant submanifolds of N(κ)-contact metric manifolds

Invariant submanifolds of N(κ)-contact metric manifolds

... Riemannian manifolds of dimension greater then 2, totally geodesic submanifolds do not ...almost contact manifolds was studied by Okumara in ... See full document

18

Pseudo Sasakian manifolds endowed with a contact conformal connection

Pseudo Sasakian manifolds endowed with a contact conformal connection

... Therefore we may say that all connection forms of the pseudo-Sasaklan manifold under consideration are ntt’a ’eZatoa of m,aganoe for the vector field UU... he volume elemet of.[r] ... See full document

15

On Hyperbolic 3 Manifolds Obtained by Dehn Surgery on Links

On Hyperbolic 3 Manifolds Obtained by Dehn Surgery on Links

... orientable 3-manifolds, which is Dehn surgery and branched coverings see 1, 10–13 for manuscripts, and moreover, gives us an effective algorithm for describing the branch set of Mp 1 /r 1 , ... See full document

8

A study of braids in 3 manifolds

A study of braids in 3 manifolds

... Theorem 5 says: 'Two links in M are isotopic if and only if any two mixed braids obtained by two corresponding mixed link diagrams in 8 3 are equivalent under conjugation, the Markov mov[r] ... See full document

106

Semi invariant warped product submanifolds of almost contact manifolds

Semi invariant warped product submanifolds of almost contact manifolds

... almost contact metric structure (j, ξ, h, g), where j is a tensor field of type (1, 1), ξ is a vector field, h is a 1-form and g is a Riemannian metric on M ¯ , all these tensor fields satisfy- ... See full document

12

About some infinite family of 2 bridge knots and 3 manifolds

About some infinite family of 2 bridge knots and 3 manifolds

... one 3-cell. Then we have a closed connected orientable 3-manifold M(,n) by applying a simple criterion, due to Seifert and Threlfall [15]: a complex which is formed by identifying the faces of a polyhedron ... See full document

14

On a generalized almost contact metric normal manifold

On a generalized almost contact metric normal manifold

... almost contact met- ric manifolds such as generalized almost contact metric normal manifold and nearly ...Almost contact manifolds play an important role in differential ...almost ... See full document

6

4-Manifolds With Inequivalent Symplectic Forms and 3-Manifolds With Inequivalent Fibrations

4-Manifolds With Inequivalent Symplectic Forms and 3-Manifolds With Inequivalent Fibrations

... From fibrations to symplectic forms. A central point for us is that suitable fibrations α of P give rise to symplectic structures ω on X(P, L). Theorem 3.4 For any fibration α ∈ H 1 (P, Z ) transverse to L, there ... See full document

22

Geodesic Lightlike Submanifolds of Indefinite Sasakian Manifolds

Geodesic Lightlike Submanifolds of Indefinite Sasakian Manifolds

... a contact metric structure of M ...normal contact structure, where N  is the Nijenhuis tensor field of  ...normal contact metric manifold is called a Sasakian manifold for which we have ... See full document

6

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