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- [2203. 14013] Scalar Curvature, Injectivity Radius and Immersions with . . .
View a PDF of the paper titled Scalar Curvature, Injectivity Radius and Immersions with Small Second Fundamental Forms, by Misha Gromov
- The estimates of the injectivity radius f j - 中国科学技术大学
1 The estimates of the injectivity radius Recall that the injectivity radius of a Riemannian manifold (M;g) is inj(M;g) = inf p2M inj p (M;g); where inj p (M;g) is the injectivity radius
- INJECTIVITY RADIUS ESTIMATES I - univie. ac. at
Rauch comparison theorem In order to estimate the injectivity radius of Mat p, we need to understand conjugate points along geodesics from pand geodesic loops through p3 In this section, we show how the conjugate points may be controlled under the assumption that the sectional curvature of (M;g) is bounded above Given p2M and a two
- Scalar Curvature, Injectivity Radius and Immersions with Small Second . . .
Gromov, M (2025) Scalar Curvature, Injectivity Radius and Immersions with Small Second Fundamental Forms Journal of the Association for Mathematical Research, 3(1), 27–71 Retrieved from https: jamathr org index php jamr article view Vol-3Issue-1Paper-2
- CURVATURE AND INJECTIVITY RADIUS ESTIMATES FOR EINSTEIN 4-MANIFOLDS
CURVATURE AND INJECTIVITY RADIUS ESTIMATES FOR EINSTEIN 4-MANIFOLDS JEFF CHEEGER AND GANG TIAN 0 Statement of main results It is of fundamental interest to study the geometric and analytic properties of compact Einstein manifolds and their moduli In dimension 2 these problems are well understood A 2-dimensional Einstein manifold, (M2,g), has
- differential geometry - Lower bound of the injectivity radius . . .
Does there exist a lower bound for the injectivity radius on $M$ (note we do not assume $M$ to be compact)? The injectivity radius is defined as the lowest radius for which the exponential map is a diffeomorphism
- On the Cheegers estimate of injectivity radius - MathOverflow
EDIT: The Cheeger's theorem says that if $M^n$ is a compact smooth Riemannian manifold such that the absolute value of its sectional curvature is less than $\kappa$, diameter at most $D$, and volume at least $v>0$ then its injectivity radius is at least $i(n,\kappa,D,v)$, where $i(n,\kappa,D,v)$ depends only on $n,\kappa,D,v$
- Scalar Curvature, Injectivity Radius and Immersions with Small Second . . .
Gromov M Scalar Curvature, Injectivity Radius and Immersions with Small Second Fundamental Forms Journal of the Association for Mathematical Research 2025 Jan 23;3(1):27-71 doi: 10 56994 JAMR 003 001 002
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