Geodesic
ON THE WILLMORE FUNCTIONAL OF 2-TORI IN SOME PRODUCT RIEMANNIAN MANIFOLDS
Glasgow mathematical journal, Tome 54 (2012) no. 3, pp. 517-528

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DOI

We discuss the minimum of Willmore functional of torus in a Riemannian manifold N, especially for the case that N is a product manifold. We show that when N = S2 × S1, the minimum of W(T2) is 0, and when N = R2 × S1, there exists no torus having least Willmore functional. When N = H2(−c) × S1, and x = γ × S1, the minimum of W(x) is .
DOI : 10.1017/S0017089512000122
Mots-clés : MSC(2000): 53A30, 53B30 
WANG, PENG. ON THE WILLMORE FUNCTIONAL OF 2-TORI IN SOME PRODUCT RIEMANNIAN MANIFOLDS. Glasgow mathematical journal, Tome 54 (2012) no. 3, pp. 517-528. doi: 10.1017/S0017089512000122
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     author = {WANG, PENG},
     title = {ON {THE} {WILLMORE} {FUNCTIONAL} {OF} {2-TORI} {IN} {SOME} {PRODUCT} {RIEMANNIAN} {MANIFOLDS}},
     journal = {Glasgow mathematical journal},
     pages = {517--528},
     year = {2012},
     volume = {54},
     number = {3},
     doi = {10.1017/S0017089512000122},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089512000122/}
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