Results 21 to 30 of about 3,849 (309)

Junctions of mass-deformed nonlinear sigma models on SO(2N)/U(N) and Sp(N)/U(N). Part II

open access: yesJournal of High Energy Physics, 2020
We construct three-pronged junctions of mass-deformed nonlinear sigma models on SO(2N)/U(N) and Sp(N )/U(N ) for generic N. We study the nonlinear sigma models on the Grassmann manifold or on the complex projective space.
Taegyu Kim, Sunyoung Shin
doaj   +1 more source

Torus actions, Morse homology, and the Hilbert scheme of points on affine space [PDF]

open access: yesÉpijournal de Géométrie Algébrique, 2021
We formulate a conjecture on actions of the multiplicative group in motivic homotopy theory. In short, if the multiplicative group G_m acts on a quasi-projective scheme U such that U is attracted as t approaches 0 in G_m to a closed subset Y in U, then ...
Burt Totaro
doaj   +1 more source

On the geometry of Poincaré's problem for one-dimensional projective foliations

open access: yesAnais da Academia Brasileira de Ciências, 2001
We consider the question of relating extrinsic geometric characters of a smooth irreducible complex projective variety, which is invariant by a one-dimensional holomorphic foliation on a complex projective space, to geometric objects associated to the ...
MARCIO G. SOARES
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he deformation pseudotensor of connections in cocongruence K (n - m)m

open access: yesДифференциальная геометрия многообразий фигур, 2023
The Grassmann manifold is the set of all -dimensional planes of an -dimensional projective space, with dim. One of the submanifolds of the Grassmann manifold is a complex of -planes if the dimension of the complex exceeds the difference .
O. O. Belova
doaj   +1 more source

Rational homotopy type of projectivization of the tangent bundle of certain spaces [PDF]

open access: yesArab Journal of Mathematical Sciences
PurposeThe paper aims to determine the rational homotopy type of the total space of projectivized bundles over complex projective spaces using Sullivan minimal models, providing insights into the algebraic structure of these spaces.Design/methodology ...
Jean Baptiste Gastinzi, Meshach Ndlovu
doaj   +1 more source

Nondeformability of the complex projective space.

open access: yesJournal für die reine und angewandte Mathematik (Crelles Journal), 1989
A proof for the following conjecture of Kodaira and Spencer is given: Let \(\Delta\) be the open unit disk in \({\mathbb{C}}\) and let \(\pi\) : \(M\to \Delta\) be a holomorphic family of compact complex manifolds such that \(\pi^{- 1}(t)\) is biholomorphic to \({\mathbb{P}}_ n\) for \(t\in \Delta -0\).
openaire   +2 more sources

FORMATION OF MODERN MATHEMATICAL APPROACH TO SOLVING PROBLEMS OF PHYSICS

open access: yesФізико-математична освіта, 2022
Formulation of the problem. Precision studies of the Higgs boson, supersymmetric particles, the magnetic moment of the muon, electric dipole moment of the electron, flavor anomalies demonstrate the deviation beyond Standard Model. They are connected with
Тетяна Обіход
doaj   +1 more source

Complexity of triangulations of the projective space

open access: yesTopology and its Applications, 2003
It is known that any two triangulations of a compact 3-manifold are related by finite sequences of certain local transformations. We prove here an upper bound for the length of a shortest transformation sequence relating any two triangulations of the 3-dimensional projective space, in terms of the number of tetrahedra.
openaire   +3 more sources

GEOMETRIC PROPERTIES OF GEODESIC SPHERES IN A COMPLEX PROJECTIVE SPACE

open access: yes, 2023
We survey geometric properties of geodesic spheres in a complex projective space. These spheres can be regarded as the simplest examples in the class of all real hypersurfaces isometrically immersed into this projective space.
Maeda, Sadahiro
core   +1 more source

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

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