On Higher Order Embeddings and Vector Bundles

1994 ◽  
Author(s):  
Edoardo Ballico
Keyword(s):  
Vector Bundles ◽  
Higher Order

scholarly journals On q-th Derivative of Vector Bundles

1967 ◽  
Vol 29 ◽  
pp. 121-126
Author(s):  
Akikuni Kato
Keyword(s):  
Vector Bundle ◽  
Vector Bundles ◽  
Present Note ◽  
Higher Order ◽  
Enumerative Geometry ◽  
Sheaf Theory ◽  
Definition Of

In the present note we shall be concerned with the improvement of fundamental definitions in higher order enumerative geometry which has been recently given by W. F. Pohl. Pohl’s definition of q-th derivative of vector bundle is very complicated. We shall give a simpler and more reasonable definition of the q-th derivative of vector bundle in terms of sheaf theory and simplify the proofs in [P]. We shall also give a definition of higher order singularity of map.

Massey products in K-theory

1970 ◽  
Vol 68 (2) ◽  
pp. 303-320 ◽  
Author(s):  
V. P. Snaith
Keyword(s):  
Vector Bundles ◽  
Higher Order ◽  
Massey Products ◽  
Cohomology Operations ◽  
K Theory

The aim of this paper is to reformulate the work of Massey(6), and Spanier(9, 10), on higher order cohomology operations, in terms of vector bundles in such a way as to produce geometrically some higher order operations in K-theory, which we will call Massey products.

Derivative strings, differential strings and semi-holonomic jets

1992 ◽  
Vol 436 (1896) ◽  
pp. 89-98 ◽  
Keyword(s):  
Vector Bundle ◽  
Vector Bundles ◽  
Principal Bundle ◽  
Analogous Result ◽  
Tensor Products ◽  
Differentiable Manifold ◽  
Higher Order ◽  
Tensor Fields

The derivative strings of Barndorff-Nielsen and the differential strings of Blӕsild & Mora are considered here from the coordinate-free viewpoint. It is shown that the derivative strings of given length and degree over a differentiable manifold form a vector bundle associated to a principal bundle of higher-order frames and that there is an analogous result for differential strings. Bundles of derivative strings are identified with vector bundles obtained from 0-truncated versions of Ehresmann’s semi-holonomic jets by dualization and by taking tensor products. Similarly, bundles of differential strings are identified with vector bundles obtained from semi-holonomic jets of certain tensor fields.

scholarly journals Skew connections in vector bundles and their prolongations

1972 ◽  
Vol 13 (3) ◽  
pp. 343-353 ◽  
Author(s):  
Juraj Virsik
Keyword(s):  
Vector Bundle ◽  
Vector Bundles ◽  
Higher Order

The paper is closely related to [1] and [2]. A skew connection in a vector bundle E as defined here is a pseudo-connection (in the sense of [1]) which can be changed into a connection by transforming separately the bundle E itself and the bundle of its differentials, i.e. one-forms on the base with values in E. The properties of skew connections are thus expected to be only “algebraically” more complicated than those of connections; especially one can follow the pattern of [1], and prolong them to obtain higher order semi-holonomic and non-holonomic pseudo-connections. It is shown in this paper that under some circumstances the main theorem of [1] or [2] applies also to skew connections.

scholarly journals Higher order Levi forms on homogeneous CR manifolds

2021 ◽  
Author(s):  
S. Marini ◽  
C. Medori ◽  
M. Nacinovich
Keyword(s):  
Vector Bundles ◽  
Higher Order ◽  
Flag Manifolds ◽  
Cr Manifolds ◽  
Complex Flag ◽  
Real Forms ◽  
Complex Flag Manifolds ◽  
Homogeneous Cr Manifolds

AbstractWe investigate the nondegeneracy of higher order Levi forms on weakly nondegenerate homogeneous CR manifolds. Improving previous results, we prove that general orbits of real forms in complex flag manifolds have order less or equal than 3 and the compact ones less or equal 2. Finally we construct by Lie extensions weakly nondegenerate CR vector bundles with arbitrary orders of nondegeneracy.

scholarly journals The Higher Order Lifts on the Extended Vector Bundles

IJARCCE ◽  
2016 ◽  
Vol 5 (12) ◽  
pp. 436-443
Author(s):  
Cansel Yormaz ◽  
Ali Görgülü
Keyword(s):  
Vector Bundles ◽  
Higher Order

Dual systems for all: Higher-order, role-based relational reasoning as a uniquely derived feature of human cognition

2019 ◽  
Vol 42 ◽  
Author(s):  
Daniel J. Povinelli ◽  
Gabrielle C. Glorioso ◽  
Shannon L. Kuznar ◽  
Mateja Pavlic
Keyword(s):  
Temporal Reasoning ◽  
Higher Order ◽  
Important Case ◽  
Human Cognition ◽  
Relational Reasoning ◽  
Dual Systems ◽  
First Order ◽  
Reasoning System ◽  
Role Based

Abstract Hoerl and McCormack demonstrate that although animals possess a sophisticated temporal updating system, there is no evidence that they also possess a temporal reasoning system. This important case study is directly related to the broader claim that although animals are manifestly capable of first-order (perceptually-based) relational reasoning, they lack the capacity for higher-order, role-based relational reasoning. We argue this distinction applies to all domains of cognition.

Quantitative EPMA of nitrogen : A tricky element in the electron-probe microanalyzer

1992 ◽  
Vol 50 (2) ◽  
pp. 1622-1623
Author(s):  
G.F. Bastin ◽  
H.J.M. Heijligers
Keyword(s):  
Background Subtraction ◽  
Electron Probe ◽  
Detection System ◽  
Higher Order ◽  
Light Elements ◽  
Strong Suppression ◽  
Electron Probe Microanalyzer ◽  
Quantitative Epma ◽  
Peak Count ◽  
Lead Stearate

Among the ultra-light elements B, C, N, and O nitrogen is the most difficult element to deal with in the electron probe microanalyzer. This is mainly caused by the severe absorption that N-Kα radiation suffers in carbon which is abundantly present in the detection system (lead-stearate crystal, carbonaceous counter window). As a result the peak-to-background ratios for N-Kα measured with a conventional lead-stearate crystal can attain values well below unity in many binary nitrides . An additional complication can be caused by the presence of interfering higher-order reflections from the metal partner in the nitride specimen; notorious examples are elements such as Zr and Nb. In nitrides containing these elements is is virtually impossible to carry out an accurate background subtraction which becomes increasingly important with lower and lower peak-to-background ratios. The use of a synthetic multilayer crystal such as W/Si (2d-spacing 59.8 Å) can bring significant improvements in terms of both higher peak count rates as well as a strong suppression of higher-order reflections.

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