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Results tagged with dg.differential-geometry
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user 102515
Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.
8
votes
1
answer
752
views
Cobordism invariants: topological v.s. geometric
Some cobordism invariants are not cohomology classes. Such as the $\mathbb{Z}_{16}$-valued eta invariant $\eta$ of $\Omega_4^{Pin^+}$, the $\mathbb{Z}_8$-valued Arf-Brown-Kervaire invariant ABK of $\O …
- 1,329
5
votes
1
answer
2k
views
Hessian of the distance function--comparison with the space form with constant sectional cur...
Let $M$ be an $n$-dimensional complete Riemannian manifold and $r$ is the distance function to a fixed point.
The Hessian comparison theorem says that if the sectional curvature of $M$ is bounded (pre …
- 1,329
2
votes
0
answers
219
views
Asymptotic expansion of the Hessian of the distance function
This question originates from another question. Big thanks to MySheperd whose answer to that question clarified my thoughts.
Let $(M,g)$ be an $n$-dimensional complete Riemannian manifold and $r$ is t …
- 1,329