Results 31 to 40 of about 83 (80)

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
core   +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

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, Montaño Carreño, Oscar Andrés   +2 more
core  

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

Reilly type inequalities for eigenvalues of the buckling problem on compact Riemannian manifolds

Demonstratio Mathematica
In this paper, we firstly study the two types of buckling problem of the biharmonic operator and get some Reilly type lower bound estimates for the first nonzero eigenvalue of these eigenvalue problems on compact Riemannian manifolds with boundary ...
Li Yanli, Du Feng, Xia Changyu
doaj   +1 more source