Results 1 to 10 of about 1,179 (183)

Ricci tensor in graded geometry

Physics Letters B, 2020
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
doaj   +3 more sources

Ricci Curvature Tensor-Based Volumetric Segmentation. [PDF]

Int J Comput Vis
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   +2 more sources

The ∗-Ricci Operator on Hopf Real Hypersurfaces in the Complex Quadric

Mathematics, 2022
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
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Tangent Bundles Endowed with Quarter-Symmetric Non-Metric Connection (QSNMC) in a Lorentzian Para-Sasakian Manifold

Mathematics, 2023
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, Lalnunenga Colney, Samesh Shenawy, Nasser Bin Turki   +3 more
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The simplicial Ricci tensor [PDF]

Classical and Quantum Gravity, 2011
19 pages, 2 ...
Alsing, Paul M., McDonald, Jonathan R., Miller, Warner A.   +2 more
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∗-Ricci Tensor on α-Cosymplectic Manifolds

Advances in Mathematical Physics, 2022
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, D. G. Prakasha, Nasser Bin Turki, Inan Unal   +3 more
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Non-holonomic Kenmotsu manifolds equipped with generalized Tanaka — Webster connection

Дифференциальная геометрия многообразий фигур, 2021
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

Diagonalizing the Ricci Tensor [PDF]

The Journal of Geometric Analysis, 2020
LaTeX2e, 17 pages, final ...
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Twistor Spaces with Hermitian Ricci Tensor [PDF]

Proceedings of the American Mathematical Society, 1990
The twistor space Z Z of an oriented Riemannian 4 4 -manifold M M admits a natural 1 1 -parameter family of Riemannian metrics h t {h_t} compatible with the almost-complex structures J 1
Davidov, Johann, Mushkarov, Oleg
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Conformal diffeomorphisms preserving the Ricci tensor [PDF]

Proceedings of the American Mathematical Society, 1995
We characterize semi-Riemannian manifolds admitting a global conformal transformation such that the difference of the two Ricci tensors is a constant multiple of the metric. Unless the conformal transformation is homothetic, the only possibilities are standard Riemannian spaces of constant sectional curvature and a particular warped product with a ...
Kühnel, W., Rademacher, H.-B.
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