On the geometry of para-hypercomplex 4-dimensional Lie groups

Autor: Mehri Nasehi, Mansour Aghasi

Publikováno v: Journal of Geometry and Physics. 132:230-238

In this paper we first completely determine left-invariant generalized Ricci solitons and Einstein-like metrics on para-hypercomplex 4- dimensional Lie groups equipped with a left-invariant Riemannian metric g and a left-invariant Lorentzian metric g

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::942ad79eec212923d630e9a512e767df
https://doi.org/10.1016/j.geomphys.2018.06.008

On the geometrical properties of hypercomplex four-dimensional Lie groups

Autor: Mansour Aghasi, Mehri Nasehi

Publikováno v: Georgian Mathematical Journal. 27:111-120

In this paper, we first classify Einstein-like metrics on hypercomplex four-dimensional Lie groups. Then we obtain the exact form of all harmonic maps on these spaces. We also calculate the energy of an arbitrary left-invariant vector field X on thes

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::d33b03ba5edf5f760f11647f02f3f2c8
https://doi.org/10.1515/gmj-2018-0003

Absolute purity in the category of quasi coherent sheaves

Autor: Mansour Aghasi, Hamidreza Nemati

Publikováno v: Filomat. 29:1663-1669

‎In this paper we consider the class of absolutely pure and Fp-injective quasi-coherent sheaves‎. ‎We show that these two classes of quasi-coherent sheaves over a locally coherent scheme are equivalent‎. ‎As a corollary we will show that th

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::b314ec7f3b592b98c09d09533a87ac84
https://doi.org/10.2298/fil1507663a

A Gröbner-Bases Algorithm for the Computation of the Cohomology of Lie (Super) Algebras

Autor: Benyamin M.-Alizadeh, Masoud Sabzevari, Mansour Aghasi, Joel Merker

Publikováno v: Advances in Applied Clifford Algebras
Advances in Applied Clifford Algebras, Springer Verlag, 2011, 22, pp.911-937. ⟨10.1007/s00006-011-0319-z⟩

We present an effective algorithm for computing the standard cohomology spaces of finitely generated Lie (super) algebras over a field \({\mathbb{K}}\) of characteristic zero. In order to reach explicit representatives of some generators of the quoti

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::be2c9c686fd3a4c32dc9a35110021fa1
https://doi.org/10.1007/s00006-011-0319-z

Infinite-dimensional second order ordinary differential equations via

Autor: George Galanis, Mansour Aghasi, A. Suri, Christopher T. J. Dodson

Publikováno v: Nonlinear Analysis: Theory, Methods & Applications. 67:2829-2838

The vector bundle structure obtained on the second order (acceleration) tangent bundle T 2 M of a smooth manifold M by means of a linear connection on the base provides an alternative way for the study of second order ordinary differential equations

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::aec7191629b1ab98c72d217e2d849680
https://doi.org/10.1016/j.na.2006.09.043