Results 101 to 110 of about 47,687 (176)

A note on extremal functions for sharp Sobolev inequalities

open access: yesElectronic Journal of Differential Equations, 2007
In this note we prove that any compact Riemannian manifold of dimension $ngeq 4$ which is non-conformal to the standard n-sphere and has positive Yamabe invariant admits infinitely many conformal metrics with nonconstant positive scalar curvature on
Marcos Montenegro, Ezequiel R. Barbosa
doaj  

k-Almost Newton-Conformal Ricci Solitons on Hypersurfaces Within Golden Riemannian Manifolds with Constant Golden Sectional Curvature

open access: yesAxioms
The current work establishes the geometrical bearing for hypersurfaces in a Golden Riemannian manifold with constant golden sectional curvature with respect to k-almost Newton-conformal Ricci solitons.
Amit Kumar Rai   +5 more
doaj   +1 more source

Constant k-curvature hypersurfaces in Riemannian manifolds

open access: yesDifferential Geometry and its Applications, 2010
Rugang Ye proved the existence of a family of constant mean curvature hypersurfaces in an $m+1$-dimensional Riemannian manifold $(M^{m+1},g)$, which concentrate at a point $p_0$ (which is required to be a nondegenerate critical point of the scalar curvature), moreover he proved that this family constitute a foliation of a neighborhood of $p_0$. In this
openaire   +3 more sources

A decomposition analysis of Weyl's curvature tensor via Berwald’s first and second order derivatives in Finsler spaces

open access: yesJournal of Innovative Applied Mathematics and Computational Sciences
This research paper explores the decomposition of Weyl's curvature tensor through the lens of Berwald’s first and second-order derivatives in Finsler spaces.
Adel Mohammed Ali Al-Qashbari   +2 more
doaj   +1 more source

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