Results 21 to 30 of about 217 (47)

Locally conformally Kähler structures on four-dimensional solvable Lie algebras

Complex Manifolds, 2019
We classify and investigate locally conformally Kähler structures on four-dimensional solvable Lie algebras up to linear equivalence. As an application we can produce many examples in higher dimension, here including lcK structures on Oeljeklaus-Toma ...
Angella Daniele, Origlia Marcos
doaj   +1 more source

Dolbeault Complex on S^4\{.} and S^6\{.} through Supersymmetric Glasses [PDF]

, 2011
S^4 is not a complex manifold, but it is sufficient to remove one point to make it complex. Using supersymmetry methods, we show that the Dolbeault complex (involving the holomorphic exterior derivative and its Hermitian conjugate) can be perfectly well ...
Smilga, Andrei V.
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Minimality of invariant submanifolds in Metric Contact Pair Geometry [PDF]

, 2014
We study invariant submanifolds of manifolds endowed with a normal or complex metric contact pair with decomposable endomorphism field $\phi$. For the normal case, we prove that a $\phi$-invariant submanifold tangent to a Reeb vector field and orthogonal
Bande, Gianluca, Hadjar, Amine
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Laplace operators on holomorphic Lie algebroids

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018
The paper introduces Laplace-type operators for functions defined on the tangent space of a Finsler Lie algebroid, using a volume form on the prolongation of the algebroid.
Ionescu Alexandru
doaj   +1 more source

Hermitian manifolds of pointwise constant antiholomorphic sectional curvatures [PDF]

, 2007
In dimension greater than four, we prove that if a Hermitian non-Kaehler manifold is of pointwise constant antiholomorphic sectional curvatures, then it is of constant sectional curvatures.Comment: 7 ...
Ganchev, Georgi, Kassabov, Ognian
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The structure of the space of affine Kaehler curvature tensors as a complex module

, 2011
We use results of Matzeu and Nikcevic to decompose the space of affine Kaehler curvature tensors as a direct sum of irreducible modules in the complex ...
Blažić N., Bokan N., García-Río E., Higa T., Higa T., M. BROZOS-VÁZQUEZ, Matzeu P., P. GILKEY, Phong D., S. NIKČEVIĆ, Simon U., Strichartz R.   +11 more
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Inequalities on the Bochner curvature tensor

Complex Manifolds
On a compact locally conformal Kähler manifold (which is also Gauduchon) satisfying an Einstein-type condition, an inequality between the integrations of Chern forms and the Bochner curvature tensor is proved.
Yang Jieming
doaj   +1 more source

Fedosov Quantization of Lagrange-Finsler and Hamilton-Cartan Spaces and Einstein Gravity Lifts on (Co) Tangent Bundles

, 2008
We provide a method of converting Lagrange and Finsler spaces and their Legendre transforms to Hamilton and Cartan spaces into almost Kaehler structures on tangent and cotangent bundles. In particular cases, the Hamilton spaces contain nonholonomic lifts
Atanasiu Gh., Bejancu A., Fedosov B., Fedosov B., Mihai Anastasiei, Miron R., Miron R., Misner C., Sergiu I. Vacaru, Thiemann T., Vacaru S., Vacaru S., Vacaru S., Vrǎnceanu G., Vrǎnceanu G., Vrǎnceanu G.   +15 more
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Remarks on a result of Chen-Cheng

Complex Manifolds
In their seminal work, Chen and Cheng proved a priori estimates for the constant scalar curvature metrics on compact Kähler manifolds. They also prove C3,α{C}^{3,\alpha }-estimate for the potential of the Kähler metrics under boundedness assumption on ...
Lu Zhiqin, Seyyedali Reza
doaj   +1 more source

A note on almost kähler manifolds [PDF]

, 2018
For anyn ≥ 2, we give examples of almost Kähler conformally flat manifoldsM 2n which are not Kähler.
Catalano, Domenico, Defever, Filip, Deszcz, Ryszard, Hotloś, Marian, Olszak, Zbigniew   +4 more
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