Results 41 to 50 of about 1,305 (80)
Spectral geometry of harmonic maps into warped product manifolds II
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 6, Page 327-339, 2001., 2001 Let (Mn, g) be a closed Riemannian manifold and N a warped product manifold of two space forms. We investigate geometric properties by the spectra of the Jacobi operator of a harmonic map ϕ : M → N. In particular, we show if N is a warped product manifold of Euclidean space with a space form and ϕ, ψ : M → N are two projectively harmonic maps, then the
Gabjin Yun
wiley +1 more source
Almost quarter-pinched K\"ahler metrics and Chern numbers
, 2009 We prove that compact K\"ahler manifolds whose sectional curvatures are close to 1/4-pinched have ratios of Chern numbers close to the corresponding ratios of a complex hyperbolic space form.
Deraux, Martin, Seshadri, Harish
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On a class of exact locally conformal cosymlectic manifolds
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 2, Page 267-278, 1996., 1994 An almost cosymplectic manifold M is a (2m + 1)‐dimensional oriented Riemannian manifold endowed with a 2‐form Ω of rank 2m, a 1‐form η such that Ωm Λ η ≠ 0 and a vector field ξ satisfying iξΩ = 0 and η(ξ) = 1. Particular cases were considered in [3] and [6].
I. Mihai, L. Verstraelen, R. Rosca
wiley +1 more source
Weakly convex closed subsets of spaces with bounded nonpositive curvature [PDF]
, 2005 On R^n endowed with a riemannian metric of bounded nonpositive curvature, the weakly convex closed subsets are topologically trivial.
Grognet, Stephane
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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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