bio | website | ime.usp.br/~gorodski |
---|---|---|
location | Sao Paulo, Brazil | |
age | 48 | |
visits | member for | 2 years, 11 months |
seen | 5 hours ago | |
stats | profile views | 1,334 |
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 |