The study of symmetries is a well known research topic in differential geometry with relevant physical interpretations. Given a Riemannian manifold $(, )$, we consider pseudo-Riemannian $$-natural metrics $$ on its tangent bundle $$ and characterize conformal, homothetic and Killing vector fields of $(,)$ obtained from natural lifts of vector fields of $$.
g ‐natural symmetries on tangent bundles
Giovanni Calvaruso
2020-01-01
Abstract
The study of symmetries is a well known research topic in differential geometry with relevant physical interpretations. Given a Riemannian manifold $(, )$, we consider pseudo-Riemannian $$-natural metrics $$ on its tangent bundle $$ and characterize conformal, homothetic and Killing vector fields of $(,)$ obtained from natural lifts of vector fields of $$.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
