Geodesic
$f$-biminimal maps between Riemannian manifolds
Czechoslovak Mathematical Journal, Tome 69 (2019) no. 4, pp. 893-905 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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We give the definition of $f$-biminimal submanifolds and derive the equation for $f$-biminimal submanifolds. As an application, we give some examples of $f$-biminimal manifolds. Finally, we consider $f$-minimal hypersurfaces in the product space $\mathbb {R}^{n}\times \mathbb {S}^{1}(a)$ and derive two rigidity theorems.
We give the definition of $f$-biminimal submanifolds and derive the equation for $f$-biminimal submanifolds. As an application, we give some examples of $f$-biminimal manifolds. Finally, we consider $f$-minimal hypersurfaces in the product space $\mathbb {R}^{n}\times \mathbb {S}^{1}(a)$ and derive two rigidity theorems.
DOI : 10.21136/CMJ.2019.0328-17
Classification : 53B25, 53C40
Keywords: variational vector field; hypersurface; $f$-biminimal submanifold; mean curvature vector 
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     author = {Zhao, Yan and Liu, Ximin},
     title = {$f$-biminimal maps between {Riemannian} manifolds},
     journal = {Czechoslovak Mathematical Journal},
     pages = {893--905},
     year = {2019},
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     number = {4},
     doi = {10.21136/CMJ.2019.0328-17},
     mrnumber = {4039608},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2019.0328-17/}
}
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Zhao, Yan; Liu, Ximin. $f$-biminimal maps between Riemannian manifolds. Czechoslovak Mathematical Journal, Tome 69 (2019) no. 4, pp. 893-905. doi: 10.21136/CMJ.2019.0328-17

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