Obata's theorem for Kähler manifolds
Santhanam, G.
Illinois J. Math., Tome 51 (2007) no. 3, p. 1349-1362 / Harvested from Project Euclid
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It is known that, in a complete Riemannian manifold $(M, g)$, if the Hessian of a real valued function satisfies some suitable conditions, then it restricts the geometry of $(M, g)$. In this paper we give a characterization of a certain class of Kähler manifolds admitting a real valued function $u$ such that the Hessian has two eigenvalues $u$ and $\frac{1+u}{2}$.
Publié le : 2007-10-15
Classification:  53C55,  53C22 
@article{1258138549,
     author = {Santhanam, G.},
     title = {Obata's theorem for K\"ahler manifolds},
     journal = {Illinois J. Math.},
     volume = {51},
     number = {3},
     year = {2007},
     pages = { 1349-1362},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1258138549}
}

Santhanam, G. Obata's theorem for Kähler manifolds. Illinois J. Math., Tome 51 (2007) no. 3, pp.  1349-1362. http://gdmltest.u-ga.fr/item/1258138549/