Results 41 to 50 of about 956,090 (356)

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

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

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

Transversely projective foliations on surfaces: existence of normal forms and prescription of the monodromy

open access: yes, 2005
We introduce a notion of normal form for transversely projective structures of singular foliations on complex manifolds. Our first main result says that this normal form exists and is unique when ambient space is two-dimensional.
Brunella M.   +7 more
core   +2 more sources

On the bordism ring of complex projective space [PDF]

open access: yesProceedings of the American Mathematical Society, 1973
The bordism ring M U ∗ ( C P ∞ ) M{U_\ast }(C{P^\infty }) is central to the theory of formal groups as applied by D. Quillen, J. F. Adams, and others recently to complex cobordism. In the present paper,
openaire   +2 more sources

Noncommutative complex geometry of the quantum projective space

open access: yes, 2011
We define holomorphic structures on canonical line bundles of the quantum projective space $\qp^{\ell}_q$ and identify their space of holomorphic sections. This determines the quantum homogeneous coordinate ring of the quantum projective space.
Khalkhali, Masoud, Moatadelro, Ali
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

Complex Modified Projective Difference Function Synchronization of Coupled Complex Chaotic Systems for Secure Communication in WSNs

open access: yesMathematics, 2022
Complex-variable chaotic systems (CVCSs) have numerous advantages over real-variable chaotic systems in chaos communication due to their increased unpredictability, confidentiality, and the ease of implementation.
Fangfang Zhang   +5 more
doaj   +1 more source

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