Results 91 to 100 of about 167,270 (190)

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  

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

Zero modes of velocity field and topological invariant in quantum torus

Results in Physics, 2021
We propose a velocity field approach to characterize topological invariants of quantum states. We introduce the indexes of the velocity field flow based on the zero modes of the velocity field and find that these zero modes play the role of the effective
Annan Fan, Shi-Dong Liang
doaj  

On Chern-Simons Matrix Models [PDF]

arXiv, 2006
The contribution of reducible connections to the U(N) Chern-Simons invariant of a Seifert manifold $M$ can be expressed in some cases in terms of matrix integrals. We show that the U(N) evaluation of the LMO invariant of any rational homology sphere admits a matrix model representation which agrees with the Chern-Simons matrix integral for Seifert ...
arxiv  

Cosmological time and the constants of nature

Physics Letters B, 2021
We propose that cosmological time is effectively the conjugate of the constants of nature. Different definitions of time arise, with the most relevant related to the constant controlling the dynamics in each epoch. The Hamiltonian constraint then becomes
João Magueijo
doaj  

Chern class of Schubert cells in the flag manifold and related algebras [PDF]

arXiv, 2016
We discuss a relationship between Chern-Schwartz-MacPherson classes for Schubert cells in flag manifolds, Fomin-Kirillov algebra, and the generalized nil-Hecke algebra. We show that nonnegativity conjecture in Fomin-Kirillov algebra implies the nonnegativity of the Chern-Schwartz-MacPherson classes for Schubert cells in flag manifolds for type A ...
arxiv  

Quasi-Kähler manifolds with trivial Chern Holonomy [PDF]

Math. Z. 271 (2012), no. 1-2, 95-108, 2008
In this paper we study almost complex manifolds admitting a quasi-K\"ahler Chern-flat metric (Chern-flat means that the holonomy of the Chern connection is trivial). We prove that in the compact case such manifolds are all nilmanifolds. Some partial classification results are established and we prove that a quasi-K\"ahler Chern-flat structure can be ...
arxiv  

Generalized Chern-Simons action principles for gravity [PDF]

arXiv, 2015
Generalized differential forms are employed to construct generalized connections. Lorentzian four-metrics determined by certain of these connections satisfy Einstein's vacuum field equations when the connections are flat. Generalized Chern-Simons action principles with Einstein's equations as Euler-Lagrange equations are constructed by using these ...
arxiv