Results 31 to 40 of about 1,762 (87)
On curvature tensors of Norden and metallic pseudo-Riemannian manifolds
Complex Manifolds, 2019 We study some properties of curvature tensors of Norden and, more generally, metallic pseudo-Riemannian manifolds. We introduce the notion of J-sectional and J-bisectional curvature of a metallic pseudo-Riemannian manifold (M, J, g) and study their ...
Blaga Adara M., Nannicini Antonella
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Lorentzian Para‐Kenmotsu Manifolds Within the Framework of ∗‐Conformal η‐Ricci Soliton
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.The present article intends to study the ∗‐conformal η‐Ricci soliton on n‐LPK (n‐dimensional Lorentzian para‐Kenmotsu) manifolds with curvature constraints. On n‐LPK, we derive certain results of ∗‐conformal η‐Ricci soliton satisfying the Codazzi‐type equation, R(ξ, L) · S = 0, the projective flatness of the n‐LPK manifold. At last, we conclude with an
Shyam Kishor +4 more
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On some compact almost Kähler locally symmetric space
International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 1, Page 69-72, 1998., 1997 In the framework of studying the integrability of almost Kähler manifolds, we prove that if a compact almost Kähler locally symmetric space M is a weakly ,∗‐Einstein vnanifold with non‐negative ,∗‐scalar curvature, then M is a Kähler manifold.
Takashi Oguro
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On Almost Generalized Weakly Symmetric LP-Sasakian Manifolds
Annals of the West University of Timisoara: Mathematics and Computer Science, 2017 The purpose of this paper is to introduce the notions of an almost generalized weakly symmetric LP-Sasakian manifolds and an almost generalized weakly Ricci-symmetric LP-Sasakian manifolds.
Baishya Kanak Kanti +1 more
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Warped Product Semi-Slant Submanifolds of a Sasakian Manifold [PDF]
, 2008 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
Essential points of conformal vector fields
, 2010 For a conformal vector field $\xi$ on a Riemannian manifold, we say that a point is essential if there is no local metric in the conformal class for which $\xi$ is Killing. We show that the only essential points are isolated zeros of $\xi$.
Belgun, Florin +2 more
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Some New Characterizations of Trivial Ricci–Bourguignon Solitons
Journal of Mathematics, Volume 2025, Issue 1, 2025.A Ricci–Bourguignon soliton is a self‐similar solution to the Ricci–Bourguignon flow equation, and a Ricci–Bourguignon soliton is called trivial if its potential field is zero or killing. Each trivial Ricci–Bourguignon soliton is an Einstein manifold.
Hana Al-Sodais +5 more
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On normally flat Einstein submanifolds
International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 3, Page 497-501, 1997., 1993 The purpose of this paper is to study the second fundamental form of some submanifolds Mn in Euclidean spaces 𝔼m which have flat normal connection. As such, Theorem gives precise expressions for the (essentially 2) Weingarten maps of all 4‐dimensional Einstein submanifolds in 𝔼6, which are specialized in Corollary 2 to the Ricci flat submanifolds.
Leopold Verstraelen +1 more
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On Kropina Change of m-th Root Finsler Metrics [PDF]
, 2014 In this paper, we consider Kropina change of $m$-th root Finsler metrics. We find necessary and sufficient condition under which the Kropina change of an $m$-th root Finsler metric be locally dually flat.
Peyghan, E. +2 more
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Some calibrated surfaces in manifolds with density
, 2010 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
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