Add to ORKGIn this paper, we define the $W_2$-curvature tensor on super Riemannian manifolds. And we compute the curvature tensor, the Ricci tensor and the $W_2$-curvature tensor on super twisted product spaces. Furthermore, we investigate the $W_2$-curvature flat super twisted product manifolds. And, we get a result that a mixed Ricci-flat super twisted product semi-Riemannian manifold can be expressed as a super warped product semi-Riemannian manifold.Comment: arXiv admin note: substantial text overlap with arXiv:2201.08937, arXiv:2112.0088
In a previous paper, the first two authors classified complete Ricci-flat ALF Riemannian 4-manifolds...
summary:It was conjectured in [26] that, for all submanifolds $M^n$ of all real space forms $\tilde{...
The formalism of hypersurface data allows one to study hypersurfaces of any causal character abstrac...
We derive the general formulas for a special configuration of the sequential warped product semi-Rie...
In this paper, we generalize the results in [Y. Wang: Affine connections on singular warped products...
In this paper some characterizations for the existence of warped product pointwise semi-slant subman...
We describe the local structure of Riemannian manifolds with harmonic curvature which admit a maximu...
We show that compact embedded starshaped $r$-convex hypersurfaces of certain warped products satisfy...
The geometry of N=1 supersymmetric double field theory is revisited in superspace. In order to maint...
The purpose of this paper is to study the W2-curvature tensor on (singly) warped product manifolds a...
In this paper, we give a Lichnerowicz type formula for the J-twist D_J of the Dirac operator. And we...
We consider a twisted version of the abelian (2, 0) theory placed upon a Lorentzian six-manifold wit...
We study curved-space rigid supersymmetry for two-dimensional N $$ \mathcal{N} $$ = (2, 2) supersymm...
We compare two standard approaches to defining lower Ricci curvature bounds for Riemannian metrics o...
In this paper, we study generalized quasi-Einstein warped products with respect to quarter symmetric...
In a previous paper, the first two authors classified complete Ricci-flat ALF Riemannian 4-manifolds...
summary:It was conjectured in [26] that, for all submanifolds $M^n$ of all real space forms $\tilde{...
The formalism of hypersurface data allows one to study hypersurfaces of any causal character abstrac...
We derive the general formulas for a special configuration of the sequential warped product semi-Rie...
In this paper, we generalize the results in [Y. Wang: Affine connections on singular warped products...
In this paper some characterizations for the existence of warped product pointwise semi-slant subman...
We describe the local structure of Riemannian manifolds with harmonic curvature which admit a maximu...
We show that compact embedded starshaped $r$-convex hypersurfaces of certain warped products satisfy...
The geometry of N=1 supersymmetric double field theory is revisited in superspace. In order to maint...
The purpose of this paper is to study the W2-curvature tensor on (singly) warped product manifolds a...
In this paper, we give a Lichnerowicz type formula for the J-twist D_J of the Dirac operator. And we...
We consider a twisted version of the abelian (2, 0) theory placed upon a Lorentzian six-manifold wit...
We study curved-space rigid supersymmetry for two-dimensional N $$ \mathcal{N} $$ = (2, 2) supersymm...
We compare two standard approaches to defining lower Ricci curvature bounds for Riemannian metrics o...
In this paper, we study generalized quasi-Einstein warped products with respect to quarter symmetric...
In a previous paper, the first two authors classified complete Ricci-flat ALF Riemannian 4-manifolds...
summary:It was conjectured in [26] that, for all submanifolds $M^n$ of all real space forms $\tilde{...
The formalism of hypersurface data allows one to study hypersurfaces of any causal character abstrac...