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The classification of class VII surfaces is a very difficult classical problem in complex geometry. It is considered by experts to be the most important gap in the Enriques-Kodaira classification table for complex surfaces. The standard conjecture concerning this problem states that any minimal class VII surface with b₂ > 0 has b₂ curves. By the results of [Ka1]-[Ka3], [Na1]-[Na3], [DOT], [OT] this conjecture (if true) would solve the classification problem completely. We explain a new approach...

G-CW-Surgery and K...(ZG).

Robert Oliver, Ted Petrie (1982)

Mathematische Zeitschrift

Genera of Ramified Coverings.

Akio Hattori (1971)

Mathematische Annalen

General Nijenhuis tensor: an example of a secondary invariant

Studený, Václav (1996)

Proceedings of the Winter School "Geometry and Physics"

The author considers the Nijenhuis map assigning to two type (1,1) tensor fields $α$ , $β$ a mapping $〈 α, β 〉 : (ξ, ζ) \mapsto [α (ξ), β (ζ)] + α \circ β ([ξ, ζ]) - α ([ξ, β (ζ)]) - β ([α (ξ), ζ)]),$ where $ξ$ , $ζ$ are vector fields. Then $〈 α, β 〉$ is a type (2,1) tensor field (Nijenhuis tensor) if and only if $[α, β] = 0$ . Considering a smooth manifold $X$ with a smooth action of a Lie group, a secondary invariant may be defined as a mapping whose area of invariance is restricted to the inverse image of an invariant subset of $X$ under another invariant mapping. The author recognizes a secondary invariant related to the...

General poisson algebras

Grabowski, Janusz (1989)

Proceedings of the Winter School "Geometry and Physics"

General Position in the Poincaré Duality Category.

J.P.E. Hodgson (1974)

Inventiones mathematicae

General position properties in fiberwise geometric topology [Book]

Taras Banakh, Vesko Valov (2013)

Generalised Swan modules and the D(2) problem.

Edwards, Tim (2006)

Algebraic & Geometric Topology

Generalization of a theorem by V. Eberhard

Stanislav Jendroľ, Ernest Jucovič (1977)

Mathematica Slovaca

Generalized Chern-Simons theory and skein relations in arbitrary dimensions

Broda, B. (1993)

Proceedings of the Winter School "Geometry and Topology"

Generalized Cohomological Index Theories for Lie Group Actions with an Application to Bifurcation Questions for Hamiltonian Systems.

E.R. Fadell, P.H. Rabinowitz (1978)

Inventiones mathematicae

Generalized Dehn-Sommerville equations and an upper bound theorem

H.-G. Gräbe (1987)

Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry

Generalized Einstein manifolds

Formella, Stanisław (1990)

Proceedings of the Winter School "Geometry and Physics"

[For the entire collection see Zbl 0699.00032.] A manifold (M,g) is said to be generalized Einstein manifold if the following condition is satisfied $(\nabla_{X} S) (Y, Z) = σ (X) g (Y, Z) + ν (Y) g (X, Z) + ν (Z) g (X, Y)$ where S(X,Y) is the Ricci tensor of (M,g) and $σ$ (X), $ν$ (X) are certain $ℓ$ -forms. In the present paper the author studies properties of conformal and geodesic mappings of generalized Einstein manifolds. He gives the local classification of generalized Einstein manifolds when g( $ψ$ (X), $ψ$ (X)) $\neq 0$ .

Generalized Flag Manifolds As Framed Boundaries.

Harsh V. Pittie, Smith Larry (1975)

Mathematische Zeitschrift

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