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We investigate the relationship of Ricci form, exponential tension field and tension field of the Gauss map of an immersion from a Riemannian manifold into a Riemannian space form. We… Click to show full abstract
We investigate the relationship of Ricci form, exponential tension field and tension field of the Gauss map of an immersion from a Riemannian manifold into a Riemannian space form. We also study exponentially harmonic Gauss sections which are the critical points of the vertical exponential energy through arbitrary vertical variations. We calculate the first variation of vertical exponential energy functional and discuss some related material.
Keywords:
maps gauss;
gauss sections;
harmonic maps;
exponentially harmonic;
gauss maps
Journal Title: Mediterranean Journal of Mathematics
Year Published: 2019
Link to full text (if available)
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Journal Title: Mediterranean Journal of Mathematics
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!