Results 31 to 40 of about 1,114 (57)
On the topology of manifolds with positive isotropic curvature
, 2008 We show that a closed orientable Riemannian $n$-manifold, $n \ge 5$, with positive isotropic curvature and free fundamental group is homeomorphic to the connected sum of copies of $S^{n-1} \times S^1$.Comment: 5 Pages. To appear in Proc.
Gadgil, Siddartha, Seshadri, Harish
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Veterinary Dermatology, Volume 35, Issue 4, Page 408-417, August 2024.Background – Supplementation of polyunsaturated fatty acids (PUFA) enables dose reduction of prednisolone and ciclosporin in canine atopic dermatitis (cAD). Objective – To determine if oral administration of PUFA can reduce the dose of oclacitinib for cAD. Conclusion – Oral supplementation of PUFA allowed dose reduction of oclacitinib and improved pVAS,
Laura Schäfer, Nina Thom
wiley +1 more source
Higher-dimensional linking integrals
, 2008 We derive an integral formula for the linking number of two submanifolds of the n-sphere S^n, of the product S^n x R^m, and of other manifolds which appear as "nice" hypersurfaces in Euclidean space. The formulas are geometrically meaningful in that they
Shonkwiler, Clayton +1 more
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New Characterizations of Hyperspheres and Spherical Hypercylinders in Euclidean Space
Journal of Mathematics, Volume 2024, Issue 1, 2024.Let x be an isometric immersion of a Riemannian n‐manifold M into a Euclidean (n + 1)‐space En+1 which does not pass through the origin of En+1. Then, the tangential part of the position vector field x of x is called the canonical vector field, and the normal part gives rise to a scalar function called the support function.
Nasser Bin Turki +3 more
wiley +1 more source
Maps of manifolds with indefinite metrics preserving certain geometrical entities
International Journal of Mathematics and Mathematical Sciences, Volume 1, Issue 1, Page 137-140, 1978., 1978 It is shown that (i) a diffeomorphism of manifolds with indefinite metrics preserving degenerate r‐plane sections is conformal, (ii) a sectional curvature‐preservlng diffeomorphism of manifolds with indefinite metrics of dimension ≥4 is generically an isometry.
R. S. Kulkarni
wiley +1 more source
Hyperbolic Space Has Strong Negative Type [PDF]
, 2015 It is known that hyperbolic spaces have strict negative type, a condition on the distances of any finite subset of points. We show that they have strong negative type, a condition on every probability distribution of points (with integrable distance to a
Lyons, Russell
core
A remark on an overdetermined problem in Riemannian Geometry
, 2015 Let $(M,g)$ be a Riemannian manifold with a distinguished point $O$ and assume that the geodesic distance $d$ from $O$ is an isoparametric function. Let $\Omega\subset M$ be a bounded domain, with $O \in \Omega$, and consider the problem $\Delta_p u = -1$
A Enciso +20 more
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 We set out to obtain estimates of the Laplacian Spectrum of Riemannian manifolds with non-empty boundary. This was achieved using standard doubled manifold techniques. In simple terms, we pasted two copies of the same manifold along their common boundary
Sabatini Luca
doaj +1 more source
Resolvent Flows for Convex Functionals and p-Harmonic Maps
Analysis and Geometry in Metric Spaces, 2015 We prove the unique existence of the (non-linear) resolvent associated to a coercive proper lower semicontinuous function satisfying a weak notion of p-uniform λ-convexity on a complete metric space, and establish the existence of the minimizer of such ...
Kuwae Kazuhiro
doaj +1 more source
Volume entropy rigidity of non-positively curved symmetric spaces [PDF]
, 2011 We characterize symmetric spaces of non-positive curvature by the equality case of general inequalities between geometric ...
Ledrappier, Francois
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