English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Open

Let ( M ,  g ) be a Riemannian manifold. When  M  is compact and the tangent bundle  TM  is equipped with the Sasaki metric  g   s  , the only vector fields that define harmonic maps from ( M ,  g ) to ( TM ,  g   s  ) are the parallel ones. The Sasaki metric and other well-known Riemannian metrics on  TM  are particular examples of  g -natural metrics. We equip  TM  with an arbitrary Riemannian  g -natural metric  G  and investigate the harmonicity of a vector field  V  of  M , thought as a map from ( M ,  g ) to ( TM ,  G ). We then apply this study to the Reeb vector field of a contact metric manifold and, in particular, to Hopf vector fields on odd-dimensional spheres.

HARMONIC SECTIONS OF TANGENT BUNDLES EQUIPPED WITH RIEMANNIAN g -NATURAL METRICS