Results 1 to 10 of about 216,766 (231)

Chern slopes of simply connected complex surfaces of general type are dense in [2,3] [PDF]

Annals of Mathematics, 2015
20 pages.
Roulleau, X., Urzúa Elia, Giancarlo A.
openaire   +4 more sources

Quantum theory of $$k(\phi )$$-FLRW-metrics its connection to Chern-Simons-models and the theta vacuum structure of quantum gravity [PDF]

, 2021
Julius Hristov
openalex   +1 more source

A simple proof of the Gauss-Bonnet-Chern formula for Finsler manifolds [PDF]

arXiv, 2013
From the point of view of index theory, we give a simple proof of a Gauss-Bonnet-Chern formula for all Finsler manifolds by the Cartan connection. Based on this, we establish a Gauss-Bonnet-Chern formula for any metric-compatible connection and also derive the Gauss-Bonnet-Chern formula of Lackey.
arxiv  

Chern-Dirac bundles on non-Kähler Hermitian manifolds [PDF]

arXiv, 2017
We introduce the notions of Chern-Dirac bundles and Chern-Dirac operators on Hermitian manifolds. They are analogues of classical Dirac bundles and Dirac operators, with Levi-Civita connection replaced by Chern connection. We then show that the tensor product of canonical and the anticanonical spinor bundles, called V-spinor bundle, is a bigraded Chern-
arxiv  

Chern numbers of manifolds with torus action [PDF]

arXiv, 2015
We show that every set of numbers that occurs as the set of Chern numbers of an almost complex manifold $M^{2n}$, $n\geqslant 3$, may be realized as the set of Chern numbers of a connected almost complex manifold with an almost complex action of two-dimensional compact torus.
arxiv  

Frobenius 3-Folds via Singular Flat 3-Webs

Symmetry, Integrability and Geometry: Methods and Applications, 2012
We give a geometric interpretation of weighted homogeneous solutions to the associativity equation in terms of the web theory and construct a massive Frobenius 3-fold germ via a singular 3-web germ satisfying the following conditions: 1) the web germ ...
Sergey I. Agafonov
doaj   +1 more source

A Simple Formula for Generating Chern Characters by Repeated Exterior Differentiation [PDF]

arXiv, 1999
A simple formula is given for generating Chern characters by repeated exterior differentiation for n-dimensional differentiable manifolds having a general linear connection.
arxiv  

On compact Hermitian manifolds with flat Gauduchon connections

, 2017
Given a Hermitian manifold $(M^n,g)$, the Gauduchon connections are the one parameter family of Hermitian connections joining the Chern connection and the Bismut connection.
Yang, Bo, Zheng, Fangyang
core  

A Remark on Chern-Weil Theory [PDF]

arXiv, 2012
We show that Chern-Weil theory for tensor bundles over manifolds is a consequence of the existence of natural closed differential forms on total spaces of torsion free connections on frame bundles.
arxiv  

Geometry of product complex Cartan manifolds

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015
In this paper we consider the product of two complex Cartan manifolds, the outcome being a class of product complex Cartan spaces. Then, we study the relationships between the geometric objects of a product complex Cartan space and its components, (e.g ...
Aldea Nicoleta, Munteanu Gheorghe
doaj   +1 more source