---- > [!definition] Definition. ([[covariant constant section]]) > Let $E$ be a (real or complex) [[vector bundle]] with [[connection on a vector bundle|connection]] $A$. A section $s \in \Gamma(E)$ is said to be a **covariant constant section** if $d_{A}s=0$, where $d_{A}$ is the [[covariant derivative on a vector bundle|covariant derivative]] associated to $A$. ^definition ---- #### ---- #### References > [!backlink] > ```dataview > TABLE rows.file.link as "Further Reading" > FROM [[]] > FLATTEN file.tags as Tag > WHERE Tag = "#definition" OR Tag = "#theorem" OR Tag = "#MOC" OR Tag = "#proposition" OR Tag = "#axiom" > GROUP BY Tag > ``` > [!frontlink] > ```dataview > TABLE rows.file.link as "Further Reading" > FROM outgoing([[]]) > FLATTEN file.tags as Tag > WHERE Tag = "#definition" OR Tag = "#theorem" OR Tag = "#MOC" OR Tag = "#proposition" OR Tag = "#axiom" > GROUP BY Tag > ```