Lifts of a Quarter-Symmetric Metric Connection from a Sasakian Manifold to Its Tangent Bundle
Mathematics, 2022 The objective of this paper is to explore the complete lifts of a quarter-symmetric metric connection from a Sasakian manifold to its tangent bundle.
Mohammad Nazrul Islam Khan +2 more
doaj +2 more sources
Tangent Bundle Convolutional Learning: From Manifolds to Cellular Sheaves and Back [PDF]
IEEE Transactions on Signal Processing, 2023 In this work we introduce a convolution operation over the tangent bundle of Riemann manifolds in terms of exponentials of the Connection Laplacian operator.
C. Battiloro +4 more
semanticscholar +1 more source
Tangent Bundle Filters and Neural Networks: From Manifolds to Cellular Sheaves and Back [PDF]
IEEE International Conference on Acoustics, Speech, and Signal Processing, 2022 In this work we introduce a convolution operation over the tangent bundle of Riemannian manifolds exploiting the Connection Laplacian operator. We use this convolution operation to define tangent bundle filters and tangent bundle neural networks (TNNs ...
C. Battiloro +4 more
semanticscholar +1 more source
Stability of the tangent bundle through conifold transitions [PDF]
Communications on Pure and Applied Mathematics, 2021 Let X be a compact, Kähler, Calabi‐Yau threefold and suppose X↦X̲⇝Xt$X\mapsto \underline{X}\leadsto X_t$ , for t∈Δ$t\in \Delta$ , is a conifold transition obtained by contracting finitely many disjoint (−1,−1)$(-1,-1)$ curves in X and then smoothing the ...
Tristan C. Collins +2 more
semanticscholar +1 more source
BIGNESS OF THE TANGENT BUNDLE OF A FANO THREEFOLD WITH PICARD NUMBER TWO [PDF]
Nagoya mathematical journal, 2022 In this paper, we study the positivity property of the tangent bundle $T_X$ of a Fano threefold X with Picard number $2$ . We determine the bigness of the tangent bundle of the whole $36$ deformation types.
Hosung Kim, Jeongsoo Kim, Yongnam Lee
semanticscholar +1 more source
Fano manifolds with big tangent bundle: a characterisation of $$V_5$$ V 5 [PDF]
Collectanea Mathematica, 2021 Let X be a Fano manifold with Picard number one such that the tangent bundle $${{T}_{X}}$$ T X is big. If X admits a rational curve with trivial normal bundle, we show that X is isomorphic to the del Pezzo threefold of degree five.
A. Höring, Jie Liu
semanticscholar +1 more source
On the Geometry of the Null Tangent Bundle of a Pseudo-Riemannian Manifold
Axioms, 2023 When we consider a non-definite pseudo-Riemannian manifold, we obtain lightlike tangent vectors that constitute the null tangent bundle, whose fibers are lightlike cones in the corresponding tangent spaces.
Mohamed Tahar Kadaoui Abbassi +2 more
doaj +1 more source
Some notes on the tangent bundle with a Ricci quarter-symmetric metric connection
AIMS Mathematics, 2023 Let $ (M, g) $ be an $ n $-dimensional (pseudo-)Riemannian manifold and $ TM $ be its tangent bundle $ TM $ equipped with the complete lift metric $ ^{C}g $.
Yanlin Li, A. Gezer, Erkan Karakaş
semanticscholar +1 more source
Affine transformations of the tangent bundle of a common path space
Дифференциальная геометрия многообразий фигур, 2023 In this paper, we study infinitesimal transformations of the tangent bundle of a common path space. The general path space is a generalization space of the affine connectivity.
N. D. Nikitin, O. G. Nikitina
doaj +1 more source
Natural Ricci Solitons on Tangent and Unit Tangent Bundles [PDF]
Zurnal matematiceskoj fiziki, analiza, geometrii, 2021 Considering pseudo-Riemannian $g$-natural metrics on tangent bundles, we prove that the condition of being Ricci soliton is hereditary in the sense that a Ricci soliton structure on the tangent bundle gives rise to a Ricci soliton structure on the base manifold.
Abbassi, Mohamed Tahar Kadaoui +1 more
openaire +3 more sources