Results 1 to 10 of about 1,253 (179)
Ricci tensor in graded geometry
We define the notion of the Ricci tensor for NQ symplectic manifolds of degree 2 and show that it corresponds to the standard generalized Ricci tensor on Courant algebroids.
Fridrich Valach
exaly +5 more sources
The Cotton Tensor and the Ricci Flow [PDF]
AbstractWe compute the evolution equation of the Cotton and the Bach tensor under the Ricci flow of a Riemannian manifold, with particular attention to the three dimensional case, and we discuss some applications.
Carlo Mantegazza +2 more
exaly +6 more sources
Ricci Curvature Tensor-Based Volumetric Segmentation. [PDF]
Abstract Existing level set models employ regularization based only on gradient information, 1D curvature or 2D curvature. For 3D image segmentation, however, an appropriate curvature-based regularization should involve a well-defined 3D curvature energy. This is the first paper to introduce a regularization energy that incorporates 3D scalar
Huang J, Chen K, Alpers A, Lei N.
europepmc +4 more sources
Torsion and Ricci tensor for non-linear connections
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exaly +4 more sources
Comparison Geometry for an Extension of Ricci Tensor [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Azami, Shahroud +2 more
openaire +1 more source
The ∗-Ricci Operator on Hopf Real Hypersurfaces in the Complex Quadric
We study the ∗-Ricci operator on Hopf real hypersurfaces in the complex quadric. We prove that for Hopf real hypersurfaces in the complex quadric, the ∗-Ricci tensor is symmetric if and only if the unit normal vector field is singular.
Rongsheng Ma, Donghe Pei
doaj +1 more source
The purpose of the present paper is to study the complete lifts of a QSNMC from an LP-Sasakian manifold to its tangent bundle. The lifts of the curvature tensor, Ricci tensor, projective Ricci tensor, and lifts of Einstein manifold endowed with QSNMC in ...
Rajesh Kumar +3 more
doaj +1 more source
The simplicial Ricci tensor [PDF]
19 pages, 2 ...
Alsing, Paul M. +2 more
openaire +2 more sources
Non-holonomic Kenmotsu manifolds equipped with generalized Tanaka — Webster connection
А non-holonomic Kenmotsu manifold equipped with a connection analogous to the generalized Tanaka — Webster connection, is considered. The studied connection is obtained from the generalized Tanaka — Webster connection by replacing the first structural ...
A.V. Bukusheva
doaj +1 more source
∗-Ricci Tensor on α-Cosymplectic Manifolds
In this paper, we study α-cosymplectic manifold M admitting ∗-Ricci tensor. First, it is shown that a ∗-Ricci semisymmetric manifold M is ∗-Ricci flat and a ϕ-conformally flat manifold M is an η-Einstein manifold. Furthermore, the ∗-Weyl curvature tensor
M. R. Amruthalakshmi +3 more
doaj +1 more source

