The Bianchi Identities of the GeneralizedBott Connection on Foliated RiemannianManifolds

本文研究在叶状黎曼流形上的广义Bott联络的相关性质,并由广义Bott联络的结构方程推导出Bianchi恒等式。This paper studies the relevant properties of the generalized Bott connection on a foliated Riemannian manifold and derives the frst Bianchi identity from the structureequations of the generalized Bott connection.

Authors

Publication Details

Journal
Advances in Applied Mathematics
Published
2025-01-01
DOI
https://doi.org/10.12677/aam.2025.146324
Primary Topic
Geometric Analysis and Curvature Flows
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

The Bianchi Identities of the GeneralizedBott Connection on Foliated RiemannianManifolds

钰莹 陈
Advances in Applied Mathematics
Geometric Analysis and Curvature Flows
article

The Bianchi Identities of the GeneralizedBott Connection on Foliated RiemannianManifolds

钰莹 陈
article en

Abstract

本文研究在叶状黎曼流形上的广义Bott联络的相关性质,并由广义Bott联络的结构方程推导出Bianchi恒等式。This paper studies the relevant properties of the generalized Bott connection on a foliated Riemannian manifold and derives the frst Bianchi identity from the structureequations of the generalized Bott connection.

Advances in Applied MathematicsVol. 14(06)
Reduced inequalities
Openalex Percentile: Top 78%
Geometric Analysis and Curvature Flows
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

The Bianchi Identities of the GeneralizedBott Connection on Foliated RiemannianManifolds — 钰莹 陈 · Advances in Applied Mathematics (2025) | TGRS Research Map | TGRS