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Stefan Kohl ♦
Stefan Kohl ♦
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Willmore Functionalfunctional

Let $(M^2,g)$ and $(\bar{M},\bar{g})$ be two Riemannian manifolds. Suppose that $\mathcal{W}$ is the Willmore functional on the set of immersion functions from $M^2$ to $\bar{M}$.

We know that $(\bar{M},\bar{g})$ is supposed to be of constant sectional curvature at every paper where the critical points of Willmore functional have been investigated. My question is that: may I suppose $(\bar{M},\bar{g})$ beto be any Riemannian manifold?

Willmore Functional

Let $(M^2,g)$ and $(\bar{M},\bar{g})$ be two Riemannian manifolds. Suppose $\mathcal{W}$ is the Willmore functional on the set of immersion functions from $M^2$ to $\bar{M}$.

We know that $(\bar{M},\bar{g})$ is supposed to be of constant sectional curvature at every paper where the critical points of Willmore functional have been investigated. My question is that may I suppose $(\bar{M},\bar{g})$ be any Riemannian manifold?

Willmore functional

Let $(M^2,g)$ and $(\bar{M},\bar{g})$ be two Riemannian manifolds. Suppose that $\mathcal{W}$ is the Willmore functional on the set of immersion functions from $M^2$ to $\bar{M}$.

We know that $(\bar{M},\bar{g})$ is supposed to be of constant sectional curvature at every paper where the critical points of Willmore functional have been investigated. My question is: may I suppose $(\bar{M},\bar{g})$ to be any Riemannian manifold?

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Saya
Saya
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Willmore Functional

Let $(M^2,g)$ and $(\bar{M},\bar{g})$ be two Riemannian manifolds. Suppose $\mathcal{W}$ is the Willmore functional on the set of immersion functions from $M^2$ to $\bar{M}$.

We know that $(\bar{M},\bar{g})$ is supposed to be of constant sectional curvature at every paper where the critical points of Willmore functional have been investigated. My question is that may I suppose $(\bar{M},\bar{g})$ be any Riemannian manifold?