hessian and complex hessian - MathOverflow [closed] most recent 30 from http://mathoverflow.net 2013-05-22T23:16:55Z http://mathoverflow.net/feeds/question/64994 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/64994/hessian-and-complex-hessian hessian and complex hessian marco 2011-05-14T16:37:06Z 2011-05-14T17:21:39Z <p>lets assume we have a function $f : \mathbb{C}^{n} \rightarrow \mathbb{R}$ which is very nice (has all properties). Is then the complex hesse form of $f$ the same as the (real) hesse form of $f$ ? if they are not the same, then what is the connection between them ? is there any formula which brings them both in connection?</p>