Results 31 to 40 of about 43,628 (311)
Generalised connections over a vector bundle map
A generalised notion of connection on a fibre bundle E over a manifold M is presented. These connections are characterised by a smooth distribution on E which projects onto a (not necessarily integrable) distribution on M and which, in addition, is ...
Langerock, BavoUGent8010013625059764751357741BDF67A8-F0EE-11E1-A9DE-61C894A0A6B4 +3 more
core +1 more source
Prolongations of affine connection and horizontal vectors
The linear frame bundle over a smooth manifold is considered. The mapping dе defined by the differentials of the first-order frame e is a lift to the normal N, i.
K.V. Polyakova
doaj +1 more source
Unfiltrable vector bundles and spanned vector bundles
Let X be an integral n-dimensional projective variety. We study the existence of rank r ≥ 2 vector bundles on X which are not extensions of two vector bundles (e.g. they exist if r=2 and X is a smooth surface with Kodaira dimension ≥ 0). Their existence implies the existence of many spanned rank n vector bundles E on X and (n+r)-dimensional linear ...
openaire +1 more source
On the jets of vector bundle maps
We deduce an abstract characterization of (q,r)-jets of vector bundle ...
Kurek, Jan, Jan Kurek
core +1 more source
First and second cohomology group of a bu ndle
Let (E, π, M) be a vector bundle. We define two cohomology groups associated to π using the first and second order jet manifolds of this bundle. We prove that one of them is isomorphic with a Čech cohomology group of the base space.
Manea Adelina
doaj +1 more source
Fibonacci, Golden Ratio, and Vector Bundles
There is a family of vector bundles over the moduli space of stable curves that, while first appearing in theoretical physics, has been an active topic of study for algebraic geometers since the 1990s. By computing the rank of the exceptional Lie algebra
Noah Giansiracusa
doaj +1 more source
Structural and biochemical characterisations show that the planar cell polarity (PCP) protein Inturned harbours a unique PDZ‐like domain that does not bind canonical PDZ‐binding motifs (PBMs) like that of another PCP protein Vangl2. In contrast, the apical‐basal polarity protein Scribble contains four PDZ domains that bind Vangl2, but one PDZ domain ...
Stephan Wilmes +4 more
wiley +1 more source
A linear projective ind-variety X is called 1-connected if any two points on it can be connected by a chain of lines l1, l2, ..., lk in X, such that li intersects li+1.
S. M. Yermakova
doaj +1 more source
This is the first volume of a three volume collection of Andrey Nikolaevich Tyurin's Selected Works. It includes his most interesting articles in the field of classical algebraic geometry, written during his whole career from the 1960s. Most of these papers treat different problems of the theory of vector bundles on curves and higher dimensional ...
Tyurin, Andrey, Bogomolov, Fedor
openaire +2 more sources
Structural insights into an engineered feruloyl esterase with improved MHET degrading properties
A feruloyl esterase was engineered to mimic key features of MHETase, enhancing the degradation of PET oligomers. Structural and computational analysis reveal how a point mutation stabilizes the active site and reshapes the binding cleft, expading substrate scope.
Panagiota Karampa +5 more
wiley +1 more source

