scholarly journals On f-Kenmotsu 3-manifolds admitting W2-curvature tensor

2021 ◽  
Author(s):  
Sunil Kumar Yadav
Keyword(s):  
Curvature Tensor

Generalized Riemann spaces

1956 ◽  
Vol 52 (4) ◽  
pp. 623-625 ◽  
Author(s):  
John Moffat
Keyword(s):  
Curvature Tensor ◽  
Physical Theory ◽  
Dimensional Space ◽  
Riemann Space ◽  
Recent Attempt ◽  
Fundamental Tensor ◽  
Fundamental Properties ◽  
Complex Symmetric ◽  
Definition Of ◽  
Generalized Curvature Tensor

ABSTRACTThe recent attempt at a physical interpretation of non-Riemannian spaces by Einstein (1, 2) has stimulated a study of these spaces (3–8). The usual definition of a non-Riemannian space is one of n dimensions with which is associated an asymmetric fundamental tensor, an asymmetric linear affine connexion and a generalized curvature tensor. We can also consider an n-dimensional space with which is associated a complex symmetric fundamental tensor, a complex symmetric affine connexion and a generalized curvature tensor based on these. Some aspects of this space can be compared with those of a Riemann space endowed with two metrics (9). In the following the fundamental properties of this non-Riemannian manifold will be developed, so that the relation between the geometry and physical theory may be studied.

On Nye’s Lattice Curvature Tensor

2021 ◽  
pp. 103696
Author(s):  
Fabio Sozio ◽  
Arash Yavari
Keyword(s):  
Curvature Tensor ◽  
Lattice Curvature

scholarly journals Curvature of quaternionic Kähler manifolds with $$S^1$$-symmetry

2021 ◽  
Author(s):  
V. Cortés ◽  
A. Saha ◽  
D. Thung
Keyword(s):  
Curvature Tensor ◽  
Decomposition Theorem ◽  
Kähler Manifolds ◽  
Kahler Manifolds ◽  
Riemann Curvature ◽  
Riemann Curvature Tensor ◽  
Cohomogeneity One ◽  
Civita Connection ◽  
Levi Civita Connection ◽  
Quaternionic Kähler

AbstractWe study the behavior of connections and curvature under the HK/QK correspondence, proving simple formulae expressing the Levi-Civita connection and Riemann curvature tensor on the quaternionic Kähler side in terms of the initial hyper-Kähler data. Our curvature formula refines a well-known decomposition theorem due to Alekseevsky. As an application, we compute the norm of the curvature tensor for a series of complete quaternionic Kähler manifolds arising from flat hyper-Kähler manifolds. We use this to deduce that these manifolds are of cohomogeneity one.

Analysis of the Curvature Tensor from the Viewpoint of Signal Processing

2008 ◽  
Author(s):  
Lennart Wietzke ◽  
Gerald Sommer ◽  
Christian Schmaltz ◽  
Joachim Weickert ◽  
Theodore E. Simos ◽  
...  
Keyword(s):  
Signal Processing ◽  
Curvature Tensor

scholarly journals Traceless component of the conformal curvature tensor in Kähler manifold

2006 ◽  
Vol 56 (3) ◽  
pp. 857-874 ◽  
Author(s):  
S. Funabashi ◽  
H. S. Kim ◽  
Y.-M. Kim ◽  
J. S. Pak
Keyword(s):  
Curvature Tensor ◽  
Kähler Manifold ◽  
Conformal Curvature ◽  
Conformal Curvature Tensor ◽  
Kahler Manifold

scholarly journals Weil jets theory, connections and curvature tensor

2012 ◽  
Vol 346 ◽  
pp. 012001
Author(s):  
R J Alonso-Blanco ◽  
J Muñoz-Díaz
Keyword(s):  
Curvature Tensor

The Flag Curvature Tensor on a Closed Finsler Space

1999 ◽  
Vol 36 (1-2) ◽  
pp. 149-159 ◽  
Author(s):  
Xiaohuan Mo
Keyword(s):  
Curvature Tensor ◽  
Finsler Space ◽  
Flag Curvature

scholarly journals On a Set of Conform-Invariant Equations of the Gravitational Field

1953 ◽  
Vol 10 (1) ◽  
pp. 16-20 ◽  
Author(s):  
H. A. Buchdahl
Keyword(s):  
Gravitational Field ◽  
Linear Combination ◽  
Curvature Tensor ◽  
Wide Class ◽  
Ricci Tensor ◽  
Empty Space ◽  
Image Position ◽  
Derivatives Of

Eddington has considered equations of the gravitational field in empty space which are of the fourth differential order, viz. the sets of equations which express the vanishing of the Hamiltonian derivatives of certain fundamental invariants. The author has shown that a wide class of such equations are satisfied by any solution of the equationswhere Gμν and gμν are the components of the Ricci tensor and the metrical tensor respectively, whilst λ is an arbitrary constant. For a V4 this applies in particular when the invariant referred to above is chosen from the setwhere Bμνσρ is the covariant curvature tensor. K3 has been included since, according to a result due to Lanczos3, its Hamiltonian derivative is a linear combination of and , i.e. of the Hamiltonian derivatives of K1 and K2. In fact

scholarly journals The curvature tensor of $$(\kappa ,\mu ,\nu )$$ ( κ , μ , ν ) -contact metric manifolds

2015 ◽  
Vol 177 (3) ◽  
pp. 331-344
Author(s):  
Kadri Arslan ◽  
Alfonso Carriazo ◽  
Verónica Martín-Molina ◽  
Cengizhan Murathan
Keyword(s):  
Curvature Tensor ◽  
Contact Metric Manifolds
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