Results 111 to 120 of about 581 (202)

Hausdorff perturbations of Ricci-flat manifolds and the splitting theorem

open access: yesDuke Mathematical Journal, 1992
The author gives two counterexamples to 1) a topological splitting question for a normal neighborhood of a minimizing geodesic with nonnegative Ricci curvature (in contrast with the Cheeger-Gromoll global splitting theorem and the local Toponogov splitting in case of nonnegative sectional curvature).
openaire   +3 more sources

Ricci-flat metrics on Calabi-Yau manifolds

open access: yes
We study the space of Ricci-flat Kahler metrics on a given Calabi-Yau manifold, pose a number of questions about their possible degenerations, and survey some recent results on these questions.
openaire   +2 more sources

Harmonic forms on ALE Ricci-flat 4-manifolds

open access: yes
In this paper, we compute the expansion of some harmonic functions and 1-forms on ALE Ricci-flat 4-manifolds.
Chen, Gao, Yan, Hao
openaire   +2 more sources

Conformal metric perturbations and boundary term as physical source

open access: yesEuropean Physical Journal C: Particles and Fields
In the context of the Relativistic Quantum Geometry formalism, where the cosmological constant is promoted to a dynamical variable by attributing it a geometric interpretation as a result of a flux on the boundary of a manifold and establishing a ...
Juan Ignacio Musmarra   +2 more
doaj   +1 more source

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