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Dergiler / Turkish Journal of Mathematics / 2019 / Cilt: 43 - Sayı: 1

Construction of the holonomy invariant foliated cocycles on the tangent bundle via formal integrability

Fatemeh AHANGARI
Sayfa
81–102
Yayın Tarihi
2022-11-04
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Accordingly, this geometric structure converts to a holonomy invariantfoliated cocycle on the tangent space, which is totally adapted to the Helmholtz conditions.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:This paper is dedicated to exhaustive structural analysis of the holonomy invariant foliated cocycles on thetangent bundle of an arbitrary (m + n) -dimensional manifold.
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Temel Bulgular & Veri:For this purpose, by applying Spencer theory of formalintegrability, sufficient conditions for the metric associated with the semispray S are determined to extend to a transversemetric for the lifted foliated cocycle on TM.
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Sonuç & Katkı:Accordingly, this geometric structure converts to a holonomy invariantfoliated cocycle on the tangent space, which is totally adapted to the Helmholtz conditions.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

This paper is dedicated to exhaustive structural analysis of the holonomy invariant foliated cocycles on thetangent bundle of an arbitrary (m + n) -dimensional manifold. For this purpose, by applying Spencer theory of formalintegrability, sufficient conditions for the metric associated with the semispray S are determined to extend to a transversemetric for the lifted foliated cocycle on TM. Accordingly, this geometric structure converts to a holonomy invariantfoliated cocycle on the tangent space, which is totally adapted to the Helmholtz conditions.

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Bu Makaleye Atıf Yap

AHANGARI, F. (2022). Construction of the holonomy invariant foliated cocycles on the tangent bundle via formal integrability. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 1, 81–102. https://ajindex.com/articles/607729

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Kaynakça (18)

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