2,157 reputation
1819
bio website ime.usp.br/~gorodski
location Sao Paulo, Brazil
age 48
visits member for 2 years, 11 months
seen 5 hours ago
I am a Professor at the University of São Paulo. I have mostly worked on the interaction between Lie groups and geometry, more specifically, Lie transformation groups and submanifold geometry, but I am generally interested in different kinds of problems that can be considered from a geometrical viewpoint.

Apr
12
comment model compact coisotropic submanifold
Consider $\mathbb C P ^n $ with its standard (Kaehler) symplectic structure and homogeneous coordinates $[z_0:\cdots:z_n]$. The submanifolds defined by $\Im z_j=0$ for $j=0,\ldots,m$ and $0\leq m\leq n$ are compact and coisotropic (the case $m=n$ is Lagrangian and gives $\mathbb R P ^n$).
Apr
12
answered Lie group about the quantum harmonic oscillator
Mar
30
comment Infinite dimensional Riemannian geometry
For infinite dimensional smooth and Riemannian manifolds, Serge Lang's books are popular as a start.
Mar
30
revised Are there nontrivial real functions of 2 real variables with gradient having constant euclidian norm on each level line?
Improved formatting.
Mar
27
reviewed Reviewed Examples of non-metrizable spaces
Mar
27
comment Examples of non-metrizable spaces
Would you kindly remind us the definition?
Mar
24
reviewed Approve suggested edit on What is the time complexity of approximated SVD
Mar
19
reviewed Reject suggested edit on Interesting mathematical documentaries
Mar
19
reviewed Reject suggested edit on Interesting mathematical documentaries
Mar
16
awarded  lie-groups
Mar
15
revised Automorphism group of flag manifolds?
Fixed grammar.
Mar
14
revised Automorphism group of flag manifolds?
Added information.
Mar
14
answered Automorphism group of flag manifolds?
Mar
7
comment Newlander-Nirenberg in dimension 2
There is also Chern, Shiing-shen An elementary proof of the existence of isothermal parameters on a surface. Proc. Amer. Math. Soc. 6 (1955), 771–782.
Mar
4
comment The trace of a wedge product of matrices
Just before the formula on page 371 there is a reference to Kobayashi-Nomizu. Have you tried to read that?
Feb
28
revised Quasiconformal extensions of diffeomorphisms
Corrected spelling.
Feb
25
reviewed Reject suggested edit on New arXiv procedures?
Feb
23
comment On Eigenvalues of the symmetric linear transformation related to a lie algebra's representation?
If $\mathfrak g$ is reductive and $\{\xi_i\}$ is orthonormal wrt $\mathrm{ad}$-invariant inner product, $H$ is the image of the Casimir element of $\mathfrak g$ under $\rho$ (en.wikipedia.org/wiki/Casimir_element). The Casimir element is in the center of the universal enveloping algebra. It follows from Schur's lemma that in case your representation is irreducible, $H$ acts as a scalar on $W$.
Feb
22
reviewed Approve suggested edit on Ehrhart polynomial
Feb
22
reviewed Reviewed Algebraic Geometry: Question on terminology