Results 321 to 330 of about 2,005,987 (380)

Proof of the Grothendieck–Serre conjecture on principal bundles over regular local rings containing a field

Izvestiya: Mathematics, 2020
Let be a regular local ring containing a field. Let be a reductive group scheme over . We prove that a principal -bundle over is trivial if it is trivial over the field of fractions of .
I. Panin
semanticscholar   +1 more source

Invariant Connections in a Non-Abelian Principal Bundle

, 1994
Given a transitive action of a symmetry group G on the base space B of a non-Abelian principal bundle P ω with a connection ω, we study the way this action can be lifted to a certain action of G on P ω leaving invariant ω.
V. Hussin, J. Negro, M. A. Delolmo
semanticscholar   +1 more source

A factorization of M4: Construction of the principal bundle of orthogonal frames over M4 from O(3,3) spinors

, 1980
The principal bundle of orthogonal frames over M4 is explicitly constructed from certain pairs of Ō(3,3)bar)= spinors that transform as (associated) twistors under the action of the covering group of the Poincare group.
P. Nash
semanticscholar   +1 more source

Bundle realizations and invariant connections in an Abelian principal bundle

, 1992
In this paper the concept of bundle realization of a Lie group on an Abelian principal bundle is defined. This definition is based on the theory of locally operating realizations of Lie groups.
J. Negro, Mariano A. del Olmo
semanticscholar   +1 more source

Bundle formation of principal fibers in rat molars.

Journal of Periodontal Research, 1992
The bundling of principal fibers was investigated in tangential sections through the tooth-related portion in developing rat molars by light and electron microscopy.
T. Yamamoto, M. Wakita
semanticscholar   +1 more source

ON GROTHENDIECK–SERRE CONJECTURE CONCERNING PRINCIPAL BUNDLES

International Congress of Mathematicans, 2019
Let R be a regular local ring. Let G be a reductive group scheme over R. A wellknown conjecture due to Grothendieck and Serre assertes that a principal G-bundle over R is trivial, if it is trivial over the fraction field of R. In other words, if K is the
I. Panin
semanticscholar   +1 more source

Iterative feedback control of snake-like robot based on principal fibre bundle modelling

, 2009
This paper is concerned with point-to-point control of a simple 3-link snake robot, which is a typical example of non-holonomic drift-free systems with complicated controllability structure.
M. Ishikawa
semanticscholar   +1 more source

On the finite principal bundles [PDF]

Annals of Global Analysis and Geometry, 2008
Let G be a connected linear algebraic group defined over \({\mathbb C}\). Fix a finite dimensional faithful G-module V0. A holomorphic principal G-bundle EG over a compact connected Kahler manifold X is called finite if for each subquotient W of the G-module V0, the holomorphic vector bundle EG(W) over X associated to EG for W is finite.
openaire   +1 more source

Principal S 1-bundles

2002
A very important theorem in the geometry of contact manifolds, and the start of the modern theory, is the Boothby–Wang theorem, which states that a compact regular contact manifold is a principal circle bundle over a symplectic manifold of integral class. We will prove this result in Section 3.3.
openaire   +3 more sources

Activities of Principal Photosynthetic and Photorespiratory Enzymes in Leaf Mesophyll and Bundle Sheath Protoplasts from the C3-C4 Intermediate Flaveria ramosissima

, 1988
Premiere mention de l'isolement reussi de protoplastes du mesophylle ou de la gaine perivasculaire d'une espece intermediaire F.
B. Moore, R. Monson, M. Ku, G. Edwards
semanticscholar   +1 more source