In this report, we obtain a topological obstruction for a 4-dimensional manifold to be a minimal hypersurface in S^5(1), i. e. if M^4→S^5(1) is minimal, then its signature is zero and |w~|=|W^-| holds everywhere, her...In this report, we obtain a topological obstruction for a 4-dimensional manifold to be a minimal hypersurface in S^5(1), i. e. if M^4→S^5(1) is minimal, then its signature is zero and |w~|=|W^-| holds everywhere, here W^+ and W^- are the self-dual and anti-self-dual parts of the Weyl tensor of M, respectively. We展开更多
文摘In this report, we obtain a topological obstruction for a 4-dimensional manifold to be a minimal hypersurface in S^5(1), i. e. if M^4→S^5(1) is minimal, then its signature is zero and |w~|=|W^-| holds everywhere, here W^+ and W^- are the self-dual and anti-self-dual parts of the Weyl tensor of M, respectively. We
