Results 41 to 50 of about 244,761 (318)

Applications of the Ashtekar gravity to four dimensional hyperk\"ahler geometry and Yang-Mills Instantons [PDF]

open access: yes, 1996
The Ashtekar-Mason-Newman equations are used to construct the hyperk\"ahler metrics on four dimensional manifolds. These equations are closely related to anti self-dual Yang-Mills equations of the infinite dimensional gauge Lie algebras of all volume ...
Gava E.   +7 more
core   +2 more sources

Strongly not relatives Kähler manifolds

open access: yesComplex Manifolds, 2017
In this paper we study Kähler manifolds that are strongly not relative to any projective Kähler manifold, i.e. those Kähler manifolds that do not share a Kähler submanifold with any projective Kähler manifold even when their metric is rescaled by the ...
Zedda Michela
doaj   +1 more source

Neighborhoods and Manifolds of Immersed Curves

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2021
We present some fine properties of immersions ℐ:M⟶N between manifolds, with particular attention to the case of immersed curves c:S1⟶ℝn. We present new results, as well as known results but with quantitative statements (that may be useful in numerical ...
Andrea C. G. Mennucci
doaj   +1 more source

Aspects of the theory of infinite dimensional manifolds [PDF]

open access: yes, 1991
The convenient setting for smooth mappings, holomorphic mappings, and real analytic mappings in infinite dimension is sketched. Infinite dimensional manifolds are discussed with special emphasis on smooth partitions of unity and tangent vectors as ...
A. Kriegl, P. Michor
semanticscholar   +1 more source

Higher bundle gerbes and cohomology classes in gauge theories [PDF]

open access: yes, 1995
The notion of a higher bundle gerbe is introduced to give a geometric realization of the higher degree integral cohomology of certain manifolds. We consider examples using the infinite dimensional spaces arising in gauge theories.Comment: 16 pages ...
A.L. Carey   +14 more
core   +2 more sources

Sard's theorem for mappings between Fr\'echet manifolds [PDF]

open access: yes, 2014
In this paper we prove an infinite-dimensional version of Sard's theorem for Fr\'{e}chet manifolds. Let $ M $ and $ N $ be bounded Fr\'{e}chet manifolds such that the topologies of their model Fr\'{e}chet spaces are defined by metrics with absolutely ...
Eftekharinasab, Kaveh
core   +3 more sources

Twisted Hochschild homology of quantum flag manifolds: 2-cycles from invariant projections [PDF]

open access: yes, 2019
We study the twisted Hochschild homology of quantum full flag manifolds, with the twist being the modular automorphism of the Haar state. We show that non-trivial 2-cycles can be constructed from appropriate invariant projections. The main result is that
Matassa, Marco
core   +2 more sources

An Alternative Surface Measures Construction in Finite-Dimensional Spaces and its Consistency with the Classical Approach

open access: yesНаукові вісті Національного технічного університету України "Київський політехнічний інститут", 2017
Background. The area formulae are well known for surfaces embedded into a finite-dimensional Euclidean space. However, in the case of an infinite-dimensional Banach manifold, such formulae cannot be used.
Kateryna V. Moravetska
doaj   +1 more source

New aspects of Argyres-Douglas theories and their dimensional reduction

open access: yesJournal of High Energy Physics, 2021
Argyres-Douglas (AD) theories constitute an infinite class of superconformal field theories in four dimensions with a number of interesting properties.
Simone Giacomelli   +2 more
doaj   +1 more source

Boosting to BMS

open access: yesJournal of High Energy Physics, 2022
Bondi-Metzner-Sachs (BMS) symmetries, or equivalently Conformal Carroll symmetries, are intrinsically associated to null manifolds and in two dimensions can be obtained as an Inönü-Wigner contraction of the two-dimensional (2d) relativistic conformal ...
Arjun Bagchi   +2 more
doaj   +1 more source

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