Results 21 to 30 of about 1,660 (35)
Warped Product Semi-Slant Submanifolds of a Sasakian Manifold [PDF]
2000 Mathematics Subject Classification: 53C40, 53C25.In the present note, it is proved that there donot exist warped product semi-slant submanifolds in a Sasakian manifold other than contact CR-warped product submanifolds and thus the results obtained ...
Al-Solamy, Falleh R., Khan, Viqar Azam
core
Einstein metrics and smooth structures
We prove that there are infinitely many pairs of homeomorphic non-diffeomorphic smooth 4-manifolds, such that in each pair one manifold admits an Einstein metric and the other does not.
Barth+17 more
core +3 more sources
Harmonic (p, q)‐Curves in Trans‐Sasakian and Normal Almost Paracontact Metric Manifolds
In this paper, we give some characterizations about biharmonic, f‐harmonic, and f‐biharmonic (p, q)‐curves in 3‐dimensional trans‐Sasakian and normal almost paracontact metric manifolds. The (p, q)‐curves are considered as generalizations of magnetic curves.
Murat Altunbaş, B. B. Upadhyay
wiley +1 more source
On the Ricci tensor of real hypersurfaces of quaternionic projective space
We study some conditions on the Ricci tensor of real hypersurfaces of quaternionic projective space obtaining among other results an improvement of the main theorem in [9].
Juan De Dios Perez
wiley +1 more source
Some calibrated surfaces in manifolds with density
Hyperplanes, hyperspheres and hypercylinders in $\Bbb R^n$ with suitable densities are proved to be weighted minimizing by a calibration argument. Also calibration method is used to prove a weighted minimal hypersurface is weighted area-minimizing ...
Barbosa+17 more
core +1 more source
On the ME‐manifold in n‐*g‐UFT and its conformal change
An Einstein′s connection which takes the form (3.1) is called an ME‐connection. A generalized n‐dimensional Riemannian manifold Xn on which the differential geometric structure is imposed by a tensor field *gλν through a unique ME‐connection subject to the conditions of Agreement (4.1) is called *g‐ME‐manifold and we denote it by *g‐MEXn.
Kyung Tae Chung, Gwang Sik Eun
wiley +1 more source
Generalized quasi Yamabe gradient solitons
We prove that a nontrivial complete generalized quasi Yamabe gradient soliton (M; g) must be a quasi Yamabe gradient soliton on each connected component of M and that a nontrivial complete locally conformally at generalized quasi Yamabe gradient soliton ...
de Oliveira, Hudson Pina+1 more
core +1 more source
Projectively induced rotation invariant K\"ahler metrics
We classify K\"ahler-Einstein manifolds which admit a K\"ahler immersion into a finite dimensional complex projective space endowed with the Fubini-Study metric, whose codimention is not greater than 3 and whose metric is rotation invariant.Comment: 9 ...
Salis, Filippo
core +1 more source
H-functional and Matsushima type decomposition theorem
The H-functional characterizes K\"ahler-Ricci solitons as its critical points, and also plays an important role of the existence problem for K\"ahler-Einstein metrics. In this paper we prove the Hessian formula for the H-functional at its critical points,
Nakamura, Satoshi
core
D'Atri spaces and the total scalar curvature of hemispheres, tubes and cylinders. [PDF]
Csikós B, Elnashar A, Horváth M.
europepmc +1 more source