User peter h - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-22T15:44:06Z http://mathoverflow.net/feeds/user/22057 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/90805/example-of-special-lagrangian-submanifold/90887#90887 Answer by peter h for example of special lagrangian submanifold peter h 2012-03-11T07:53:46Z 2012-03-11T07:53:46Z <p>Actually I am intrested in the following: Are there examples of compact real analytic Riemannian manifolds that cannot be isometrically embedded as special lagrangian submanifolds of a Calabi-Yau manifold? Here the Calabi-Yau manifold doesn't have to be compact or complete, it should be like a "germ" around the Riemannian manifold (like in Bryant's paper). Are there counterexamples ? What about the two-sphere, that Robert Bryant mentioned ?</p> http://mathoverflow.net/questions/90805/example-of-special-lagrangian-submanifold/90828#90828 Answer by peter h for example of special lagrangian submanifold peter h 2012-03-10T16:22:22Z 2012-03-10T16:22:22Z <p>@Robert Bryant: Actually I am considering the question: Are there examples of compact real analytic Riemannian manifolds that cannot be isometrically embedded as special lagrangian submanifolds of a (not necessary compact) Calabi-Yau manifold?</p> http://mathoverflow.net/questions/90805/example-of-special-lagrangian-submanifold/90828#90828 Comment by peter h peter h 2012-03-10T17:11:29Z 2012-03-10T17:11:29Z no not necessary, like in bryant's paper like a &quot;germ&quot; around the real manifold. is this possible for the 2-sphere, for example ??? http://mathoverflow.net/questions/90805/example-of-special-lagrangian-submanifold/90828#90828 Comment by peter h peter h 2012-03-10T17:09:53Z 2012-03-10T17:09:53Z or eaven in dimension 2 for the 2-sphere ? http://mathoverflow.net/questions/90805/example-of-special-lagrangian-submanifold/90828#90828 Comment by peter h peter h 2012-03-10T16:23:42Z 2012-03-10T16:23:42Z maybe in higher dimensions ???