Conharmonically flat and conharmonically symmetric warped product manifolds
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
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RC-positivity and rigidity of harmonic maps into Riemannian manifolds [PDF]
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
On the Isometric Immersions in Euclidean Space of Manifolds with Nonnegative Sectional Curvatures. II [PDF]
Philip Hartman
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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
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
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Fundamental groups of 2-complexes with nonpositive planar sectional curvature [PDF]
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]
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
Notes on a $K$-space of constant holomorphic sectional curvature [PDF]
Sumio Sawaki+2 more
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Homogeneous convex domains of negative sectional curvature [PDF]
Hirohiko Shima
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On Riemannian manifolds with Sasakian $3$-structure of constant horizontal sectional curvature [PDF]
Mariko Konishi, Shōichi Funabashi
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