Results 41 to 50 of about 83 (80)

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

open access: yesDemonstratio 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

Parabolicity of manifolds [PDF]

open access: yes
This Paper is an introduction to the study of an invariant of Riemannian manifolds related to the non-linear potential theory of the p-Laplacian and which is called its parabolic or hyperbolic type.
Troyanov, Marc
core   +1 more source

On 3-Dimensional Lorentzian β-Kenmotsu Manifolds

open access: yes, 2009
In this paper, we study Lorentzian β-Kenmotsu manifold satisfying the condition R(X, Y ) · S = 0, where R(X, Y ) is considered as a derivation of the tensor algebra at each point of the manifold of tangent vectors X, Y and S is the Ricci tensor, 3 ...

core  

A simplified Proof of the Hopf Conjecture

open access: yesAnalele 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

© Hindawi Publishing Corp. SKEW-SYMMETRIC VECTOR FIELDS ON A CR-SUBMANIFOLD OF A PARA-KÄHLERIAN MANIFOLD

open access: yes, 2003
We deal with a CR-submanifold M of a para-Kählerian manifold M ̃ , which carries a J-skew-symmetric vector field X. It is shown that X defines a global Hamiltonian of the symplectic form Ω onM and JX is a relative infinitesimal automorphism of Ω.
Radu Rosca, Adela Mihai
core  

Gromov-Hausdorff limits of closed surfaces

open access: yesAnalysis 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

Rotation Numbers and Isometries

open access: yes, 1997
: Using the notion of rotation set for homeomorphisms of compact manifolds, we define the rotation homomorphism of a connected compact orientable Riemannian manifold and apply it to prove that the dimension of the isometry group of a connected compact ...
Konstantin Athanassopoulos
core  

Plasma Ceramides and Risk of Impaired Lower-Extremity Function in Older Adults: A Nested Case-Control Study. [PDF]

open access: yesJ Gerontol A Biol Sci Med Sci, 2021
Caballero FF   +4 more
europepmc   +1 more source

On generalized measure contraction property and energy functionals over Lipschitz maps

open access: yes, 1999
. We will summarize a part of the result of [10], the construction of Sobolev spaces and energy functionals over maps between metric spaces under the strong measure contraction property of Bishop-Gromov type, which is a generalized notion of Ricci ...
Kazuhiro Kuwae, Takashi Shioya
core  

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