Results 151 to 160 of about 250,111 (340)

Conharmonically flat and conharmonically symmetric warped product manifolds

open access: yesAIP Advances
This article presents characterizations of warped product manifolds based on the flatness and symmetry of the conharmonic curvature tensor. It is proved that when a warped product manifold is conharmonically flat, both the base and fiber manifolds ...
Abdallah Abdelhameed Syied   +2 more
doaj   +1 more source

RC-positivity and rigidity of harmonic maps into Riemannian manifolds [PDF]

open access: yesarXiv, 2018
In this paper, we show that every harmonic map from a compact K\"ahler manifold with uniformly RC-positive curvature to a Riemannian manifold with non-positive complex sectional curvature is constant. In particular, there is no non-constant harmonic map from a compact K\"ahler manifold with positive holomorphic sectional curvature to a Riemannian ...
arxiv  

KCS1 and VIP1, the genes encoding yeast phosphoinositol pyrophosphate synthases, are required for Ca2+‐mediated response to dimethylsulfoxide (DMSO)

open access: yesFEBS Open Bio, EarlyView.
Ca2+‐mediated response to DMSO was investigated in Saccharomyces cerevisiae cells expressing Ca2+‐dependent aequorin. Cell exposure to DMSO induced a cytosolic Ca2+ wave dependent on the integrity of the Cch1/Mid1 channel. Deletion of KCS1 or VIP1 genes encoding the phosphoinositol pyrophosphate (PP‐IP) synthases suppressed the DMSO‐induced Ca2 ...
Larisa Ioana Gogianu   +4 more
wiley   +1 more source

Algebraic Properties of Curvature Operators in Lorentzian Manifolds with Large Isometry Groups

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2010
Together with spaces of constant sectional curvature and products of a real line with a manifold of constant curvature, the socalled Egorov spaces and ε-spaces exhaust the class of n-dimensional Lorentzian manifolds admitting a group of isometries of ...
Giovanni Calvaruso, Eduardo García-Río
doaj   +1 more source

Fundamental groups of 2-complexes with nonpositive planar sectional curvature [PDF]

open access: yesarXiv
We show that the finite simply connected 2-complexes of nonpositive planar sectional curvature are collapsible. Moreover, we show that each finite connected 2-complex with negative planar sectional curvature and fundamental group $\mathbb{Z}$ can be collapsed to a 1-dimensional cycle.
arxiv  

Curvature tensors whose Jacobi or Szabo operator is nilpotent on null vectors [PDF]

open access: yesarXiv, 2002
We show that any $k$ Osserman Lorentzian algebraic curvature tensor has constant sectional curvature and give an elementary proof that any local 2 point homogeneous Lorentzian manifold has constant sectional curvature. We also show that a Szab\'o Lorentzian covariant derivative algebraic curvature tensor vanishes.
arxiv  

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