Results 31 to 40 of about 224 (67)

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, Sharief Deshmukh, Bang-Yen Chen, Ljubisa Kocinac   +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

Estimates of the Laplacian Spectrum and Bounds of Topological Invariants for Riemannian Manifolds with Boundary

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

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

Free torus actions and twisted suspensions

Forum of Mathematics, Sigma
We 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 Mathematics
In this study, we give a synthetic construction of a complete system of mutually unbiased bases in C3{{\mathbb{C}}}^{3}.
Katz Mikhail G.
doaj   +1 more source

A simplified Proof of the Hopf Conjecture

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
The use of the barycentre map between two copies of ℝn , the first one with a metric without conjugate points, the second one with the canonical flat metric, allows to prove in a simplified way the fact that Riemannian tori without conjugate points are ...
Sabatini Luca
doaj   +1 more source

Gromov-Hausdorff limits of closed surfaces

Analysis and Geometry in Metric Spaces
We completely describe the Gromov-Hausdorff closure of the class of length spaces being homeomorphic to a fixed closed surface.
Dott Tobias
doaj   +1 more source

On the Normal Stability of Triharmonic Hypersurfaces in Space Forms. [PDF]

J Geom Anal, 2023
Branding V.
europepmc   +1 more source