Results 31 to 40 of about 83 (80)
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
Almost Extrinsically Homogeneous Submanifolds of Euclidean Space [PDF]
, 2018 Consider a closed manifold M immersed in Rm. Suppose that the trivial bundle M × Rm = T M ⊗ ν M is equipped with an almost metric connection ~ ∇ which almost preserves the decomposition of M × Rm into the tangent and the normal bundle.
Quast, Peter
core
Liouville theorems and gradient estimates for positive solutions to a class of quasilinear elliptic equations [PDF]
AMS Subject Classification: 53C20.In this paper, we use the Nash-Moser iteration method to investigate the local and global gradient estimates of positive solutions to a class of quasi-linear elliptic equations [mathematical notation, see full text] on a
Winter, M, Han, D, Yang, H
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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
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On minimal hypersurfaces of nonnegatively Ricci curved manifolds
, 1992 International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 3, Page 573-578, 1993.
Yoe Itokawa
wiley +1 more source
The Stekloff Problem for Rotationally Invariant Metrics on the Ball [PDF]
, 2013 . Let (Br, g) be a ball of radius r > 0 in R n (n ≥ 2) endowed with a rotationally invariant metric ds 2 + f 2 (s)dw 2 , where dw 2 represents the standard metric on S n−1 , the (n−1)-dimensional unit sphere.
El Problema De Stekloff +2 more
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Free torus actions and twisted suspensions
Forum of Mathematics, SigmaWe express the total space of a principal circle bundle over a connected sum of two manifolds in terms of the total spaces of circle bundles over each summand, provided certain conditions hold.
Fernando Galaz-García, Philipp Reiser
doaj +1 more source
Mutually unbiased bases via complex projective trigonometry
Open MathematicsIn this study, we give a synthetic construction of a complete system of mutually unbiased bases in C3{{\mathbb{C}}}^{3}.
Katz Mikhail G.
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