smooth submanifold contained in a subvariety of same dimension is real analytic
This theorem seems to usually be attributed to Malgrange in literature as it appeared in his book.
The condition that is smooth cannot be relaxed to for . For example, note that in , the subvariety , which is the graph of the function , is not a real analytic submanifold.
- 1 Bernard Malgrange. . Oxford University Press, 1966.
|Title||smooth submanifold contained in a subvariety of same dimension is real analytic|
|Date of creation||2013-03-22 17:41:16|
|Last modified on||2013-03-22 17:41:16|
|Last modified by||jirka (4157)|