Results 31 to 40 of about 124 (116)
Ricci solitons on almost Kenmotsu 3-manifolds
Let (M3, g) be an almost Kenmotsu 3-manifold such that the Reeb vector field is an eigenvector field of the Ricci operator. In this paper, we prove that if g represents a Ricci soliton whose potential vector field is orthogonal to the Reeb vector field ...
Wang Yaning
doaj +1 more source
An η‐Ricci–Yamabe solitons is a notion of both Ricci and Yamabe solitons, defined by a geometric equation involving a tensor field, which has applications in general relativity and cosmology. The objective of the present research is to examine η‐Ricci–Yamabe solitons and Ricci–Yamabe solitons on covariant projectively flat and concircularly flat ...
B. B. Chaturvedi +3 more
wiley +1 more source
Chern classes of integral submanifolds of some contact manifolds
A complex subbundle of the normal bundle to an integral submanifold of the contact distribution in a Sasakian manifold is given. The geometry of this bundle is investigated and some results concerning its Chern classes are obtained.
Gheorghe Pitiş
wiley +1 more source
EXISTENCE AND COMPACTNESS THEORY FOR ALE SCALAR-FLAT KÄHLER SURFACES
Our main result in this article is a compactness result which states that a noncollapsed sequence of asymptotically locally Euclidean (ALE) scalar-flat Kähler metrics on a minimal Kähler surface whose Kähler classes stay in a compact subset of the ...
JIYUAN HAN, JEFF A. VIACLOVSKY
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This paper investigates the optimization of soliton structures on tangent bundles of statistical Kenmotsu manifolds through lifting theory. By constructing lifted statistical Kenmotsu structures using semisymmetric metric and nonmetric connections, we derive explicit expressions for the curvature tensor, Ricci operator, and scalar curvature. We analyze
Mohammad Nazrul Islam Khan +3 more
wiley +1 more source
Lower bounds for eigenvalues of the Dirac operator on n-spheres with SO(n)-symmetry
In this paper we derive estimates for the eigenvalues of the Dirac operator and their multiplicity on manifolds diffeomorphic to S-n with an isometric SO(n)-action. Especially we prove a new lower bound for the first eigenvalue and show an example, where
Kraus, Margarita
core +1 more source
Classification of contact structures associated with the CR-structure of the complex indicatrix
By regarding the complex indicatrix as an embedded CR-hypersurface of the holomorphic tangent bundle in a fixed point, we analyze some aspects of the relations between its CR structure and the considered contact structure.
Popovici Elena
doaj +1 more source
We characterize multiply warped product manifolds with ϕ(Ric)‐vector fields. We give the necessary and sufficient conditions for the lift of a vector field on a factor manifold to be the ϕ(Ric)‐vector field. In terms of physical applications, the multiply generalized Robertson–Walker spacetime is considered.
Moctar Traore +3 more
wiley +1 more source
A Characterization of Einstein Manifolds [PDF]
In this work we wish characterize the Einstein manifolds (M, g), however without the necessity of hypothesis of compactness over M and unitary volume of g, which are well known in many works.
Simão Stelmastchuk
core
Pluricomplex Green's functions and Fano manifolds [PDF]
We show that if a Fano manifold does not admit Kahler-Einstein metrics then the Kahler potentials along the continuity method subconverge to a function with analytic singularities along a subvariety which solves the homogeneous complex Monge-Ampere ...
Nicholas McCleerey, Valentino Tosatti
doaj +1 more source

