Results 31 to 40 of about 143 (140)
Kaehler and para-Kaehler curvature Weyl manifolds
We show that the Weyl structure of an almost-Hermitian Weyl manifold of dimension at least 6 is trivial if the associated curvature operator satisfies the Kaehler identity. Similarly if the curvature of an almost para-Hermitian Weyl manifold of dimension at least 6 satisfies the para-Kaehler identity, then the Weyl structure is trivial as well.
Gilkey, Peter, Nikcevic, Stana
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Totally umbilical CR-submanifolds of Semi-Riemannian Kaehler manifolds
We study totally umbilical CR-submanifolds of a Kaehler manifold carrying a semi-Riemannian metric. It is shown that for dimension of the totally real distribution greater than one, these submanifolds are locally decomposable into a complex and a totally
K. L. Duggal, R. Sharma
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Curvature tensors in Kaehler manifolds [PDF]
Curvature tensors of Kaehler type (or type K) are defined on a hermitian vector space and it has been proved that the real vector space L K ( V ) {\mathcal {L}_K}(V) of curvature tensors of type K on V is isomorphic with the vector ...
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ON SLANT SUBMANIFOLDS OF NEUTRAL KAEHLER MANIFOLDS
An indefinite Riemannian manifold is called neutral it its index is equal to one half of its dimension and an indefinite Kaehler manifold is called neutral Kaehler if its complex index is equal to the half of its complex dimension. In the first part of this article, we extend the notion of slant surfaces in Lorentzian Kaehler surfaces to slant ...
Arslan, K. +3 more
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Quaternion CR-submanifolds of a quaternion Kaehler manifold
We study the quaternion CR-submanifolds of a quaternion Kaehler manifold. More specifically we study the properties of the canonical structures and the geometry of the canonical foliations by using the Bott connection and the index of a quaternion CR ...
Bassil J. Papantoniou, M. Hasan Shahid
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Compact Totally Real Minimal Submanifolds in a Bochner-Kaehler Manifold
In this paper, we establish the following results: Let $M$ be an $% m-$dimensional compact totally real minimal submanifold immersed in a locally symmetric Bochner-Kaehler manifold $\tilde{M}$ with Ricci curvature bounded from below. Then either $M$ is a
Mehmet Bektaş +2 more
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Read the free Plain Language Summary for this article on the Journal blog. Abstract Plant species pollinated by animals differ in the pool of visitors they attract. Some attract functionally similar animals, while others engage with a broader set of functionally distinct visitors; we term this species‐level variation functional generalism.
Ricardo Sánchez‐Martín +6 more
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On the Symmetries of a Kaehler Manifold
AbstractThe natural symmetries of Riemannian manifolds are described by the symmetries of its Riemann curvature tensor. In that sense, the most symmetric manifolds are the constant sectional curvature ones. Its natural generalizations are locally symmetric manifolds, semisymmetric manifolds, and pseudosymmetric manifolds.
Alma L. Albujer +2 more
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A myriad of factors influence species interactions, and determining their relative importance is a major challenge in community ecology. Here, we explored the multiple factors influencing hummingbird visitation rates to flowers by considering pollinator and floral traits alongside the broader ecological context (i.e.
Elisa Barreto +36 more
wiley +1 more source
On totally umbilical CR-submanifolds of a Kaehler manifold
Let M be a compact 3-dimensional totally umbilical CR-submanifold of a Kaehler manifold of positive holomorphic sectional curvature. We prove that if the length of the mean curvature vector of M does not vanish, then M is either diffeomorphic to S3 or ...
M. A. Bashir
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