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https://mathoverflow.net/questions/tagged/dg.differential-geometry
Newest 'dg.differential-geometry' Questions - MathOverflow
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https://mathoverflow.net/questions/509512/heat-kernel-ratio-on-flat-torus-t%c2%b2-for-specific-winding-sectors
dg.differential geometry - Heat kernel ratio on flat torus T² for specific winding sectors -...
Consider the heat kernel (Euclidean propagator) for a free particle on the space $T² × R³$, where $T²$ is a flat torus with radii $R₁$ and $R₂$. The return...
dg differential geometryheatkernelratioflat
https://mathoverflow.net/questions/509490/when-is-a-symplectic-manifold-with-the-opposite-orientation-itself-symplectic
dg.differential geometry - When is a symplectic manifold with the opposite orientation itself...
Suppose $(M,\omega)$ is a closed (compact without boundary) symplectic manifold of dimension $2n$. Suppose $\overline{M}$ is a homeomorphic copy of $M$ with...
dg differential geometrysymplecticmanifoldoppositeorientation
https://mathoverflow.net/questions/334398/lie-transformation-group-and-the-transformation-of-smooth-structure-from-normal
dg.differential geometry - Lie transformation group and the transformation of smooth structure from...
I'm self-working on two theorems on Lie transformation group from the book Kobayashi transformation group in differential geometry, one is the following...
dg differential geometrytransformation groupliesmoothstructure
https://mathoverflow.net/questions/317507/underdetermined-system-of-linear-pdes
dg.differential geometry - Underdetermined system of linear PDEs - MathOverflow
Let $a,b$ two smooth functions from the open square $I^{2}$ in $\mathbb{R}^{2}$ to $\mathbb{R}^{4}$. In particular, assume $a(t,u)$ and $b(t,u)$ be linearly...
dg differential geometrysystemlinearpdesmathoverflow
https://mathoverflow.net/questions/509442/topology-of-compact-manifolds-admitting-codimension-one-foliations-with-dense-le
dg.differential geometry - Topology of compact manifolds admitting codimension-one foliations with...
Let $M$ be a compact manifold endowed with a codimension-one smooth foliation $\mathcal{F}$, defined as the kernel of a closed, nowhere-vanishing 1-form...
dg differential geometrytopologycompactmanifoldsadmitting
https://mathoverflow.net/questions/510778/connections-between-the-hamilton-jacobi-equation-and-the-ricci-flow-equation
dg.differential geometry - Connections between the Hamilton-Jacobi equation and the Ricci flow...
The Hamilton-Jacobi equation of symplectic geometry states: $$ \frac{\partial S}{\partial t} + H\!\left(q,\frac{\partial S}{\partial q},t\right)=0\tag1, $$ it...
dg differential geometryconnectionshamiltonjacobiequation
https://mathoverflow.net/questions/510481/stability-and-hitchin-equation-in-the-limit
dg.differential geometry - Stability and Hitchin equation in the limit - MathOverflow
dg differential geometrystabilityhitchinequationlimit
https://mathoverflow.net/questions/510382/reference-request-the-map-metric-%e2%86%a6-geodesic-endpoint-is-a-submersion-under
dg.differential geometry - Reference request: the map (metric) ↦ (geodesic endpoint) is a...
I am looking for a reference for the following statement: Let $k\geq 3$. Let $(M,g)$ be a semi-Riemannian manifold with $g$ a $C^k$ metric, let...
dg differential geometryreference requestmapmetricgeodesic
https://mathoverflow.net/questions/509022/formula-for-riemann-curvature-tensor-does-it-have-a-name
dg.differential geometry - Formula for Riemann curvature tensor -- does it have a name? -...
Say you have $N$, an n-dimensional submanifold of a Euclidean space $\mathbb R^k$. We consider it to be a Riemann manifold with the pull-back metric. Locally...
dg differential geometryformulariemanncurvaturetensor