Peter Michor

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Name	Peter Michor
Member for	9 months
Seen	21 mins ago
Website	mat.univie.ac.at/~michor
Location	Vienna, Austria
Age	64

Just a simple mathematician

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45m	asked	Where did Sophus Lie write the group commutator for two one parameter groups.
17h	answered	Manifold of immersions of a manifold
2d	awarded	● Necromancer
Jun 16	comment	Torsion and Parallel Transport @Oliver: Robert gave the concise answer. Sorry, I could not see this as parallel transport along a parallelogram, but as exchanging two Fermi coordinates. But this picking hairs.
Jun 14	comment	A version of implicit function theorem when sections are not everywhere smooth? @Ritwik: Weak means, that the implicitly given function is just strictly differentiable at each point of $s_1^{−1}(0)$. This means $lim_{x≠y→x_0}\frac{f(x)−f(y)}{x−y}$ exists (1-dim version).
Jun 14	accepted	A version of implicit function theorem when sections are not everywhere smooth?
Jun 14	comment	Torsion and Parallel Transport @Oliver: I do not know this source; but I doubt it, because I just computed parallel transport along a parallelogram in the answer.
Jun 14	comment	Torsion and Parallel Transport @Robert: Beautiful and simple. Is this connection associated to the Cartan connection on the $\mathbb R^n \rtimes SO(n)$-bundle which involves the soldering form as the part with values in the translations?
Jun 14	answered	A version of implicit function theorem when sections are not everywhere smooth?
Jun 14	answered	Differential Calculus and the De Rham Homotopy Operator
Jun 13	revised	Is $C^\nu(X,Y)$ a Banach manifold and a Lindelöf space? added 617 characters in body
Jun 13	awarded	● Necromancer
Jun 12	accepted	Why $O(4n,\mathbb{C})$ (orthogonal group) acts transitively on the space of maximal isotropics of $V\bigotimes \mathbb{C}$ ?
Jun 12	awarded	● Good Answer
Jun 12	revised	Complete uniform spaces require complete metrics? added 397 characters in body
Jun 12	answered	Reference for: $C_c^\infty(0,T;H)$ dense in $L^2(0,T;H)$
Jun 12	comment	Is $C^\nu(X,Y)$ a Banach manifold and a Lindelöf space? @Dave Hartman: What is your Banach manifold $Y$. Is it an open set in a Banach space?
Jun 12	comment	Density of integral (rational) points on affine varieties For homogeneous varieties there is the overview article: MR1975458 (2004h:11031) Margulis, Gregory(1-YALE) Diophantine approximation, lattices and flows on homogeneous spaces. A panorama of number theory or the view from Baker's garden (Zürich, 1999), 280–310, Cambridge Univ. Press, Cambridge, 2002.
Jun 12	revised	Is $C^\nu(X,Y)$ a Banach manifold and a Lindelöf space? added 195 characters in body
Jun 12	comment	Hubbard-Stratonovich Transformation Write $2xy = -x^2 - y^2 + (x+y)^2$.
Jun 12	answered	What is Kirillov’s method good for?
Jun 11	revised	Torsion and Parallel Transport added 2 characters in body
Jun 11	answered	Torsion and Non-metricity Tensor on a Surface
Jun 11	revised	Torsion and Parallel Transport added 1271 characters in body
Jun 11	answered	Torsion and Parallel Transport
Jun 11	answered	A specific question regarding a proof in Knapp’s book
Jun 10	revised	identifying dual of lie algebra of general linear groups added 227 characters in body
Jun 10	answered	identifying dual of lie algebra of general linear groups
Jun 10	answered	On a technical fact used in the proof of density of smooth vectors in a representation
Jun 10	answered	Complete uniform spaces require complete metrics?
Jun 10	awarded	● Nice Answer
Jun 9	answered	analytic approximation of a non-negative matrix by a sequence of positive matrices
Jun 9	answered	Local fractional derivative that doesn’t vanish on differentiable functions
Jun 7	answered	Exponential and Logarithm Mapping on Stiefel Manifold
Jun 7	revised	Is $C^\nu(X,Y)$ a Banach manifold and a Lindelöf space? added 169 characters in body
Jun 5	answered	Is $C^\nu(X,Y)$ a Banach manifold and a Lindelöf space?
Jun 5	answered	similarity transformation into symmetric matrices
Jun 5	accepted	Contractibility of a configuration space
Jun 4	awarded	● Civic Duty
Jun 4	revised	Is every representable map a submersion? added 1422 characters in body
Jun 4	comment	solving trace norm equality $\text{Tr}(AB)$ is a symmetric non-degenerate inner product on the space of all matrices, with signature $(\frac{(n+1)n}2,\frac{(n-1)n}2)$. Over $mathbb R$, the symmetric bilinear form $\text{Tr}(AB^\top)$ is positive definite.
Jun 2	revised	Question about the elementary divisors of a special matrix added 11 characters in body
Jun 2	accepted	Functoriality of the cotangent bundle
Jun 1	answered	Functoriality of the cotangent bundle
Jun 1	answered	Applications of Chevalley Restriction Theorem
May 30	answered	Canonical embedding of a closed subspace of a reflexive space
May 30	answered	Calculating a second fundamental form in the space of hermitian metrics
May 30	answered	Is every representable map a submersion?
May 30	comment	Functoriality of the cotangent bundle I do not know a larger class of smooth mappings; and I considered this question intensively when co-writing the book "Natural operations in differential geometry".
May 29	awarded	● Nice Answer

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