Results 11 to 20 of about 1,153 (186)
A New Algebraic Inequality and Some Applications in Submanifold Theory
Mathematics, 2021 We give a simple proof of the Chen inequality involving the Chen invariant δ(k) of submanifolds in Riemannian space forms. We derive Chen’s first inequality and the Chen–Ricci inequality.
Ion Mihai, Mihai Ion
exaly +3 more sources
Information Submanifold Based on SPD Matrices and Its Applications to Sensor Networks
Entropy, 2017 In this paper, firstly, manifoldPD(n)consisting of alln×nsymmetric positive-definite matrices is introduced based on matrix information geometry; Secondly, the geometrical structures of information submanifold ofPD(n)are presented including metric ...
Huafei Sun, Sun Huafei
exaly +3 more sources
A new multimodal planning algorithm based on PRM [PDF]
ITM Web of Conferences, 2022 The robot motion planning problem has a unique multimodal structure, where the space of feasible configuration consists of intersecting submanifolds.
Qin Huanchang +5 more
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Submanifolds of Almost-Complex Metallic Manifolds
Mathematics, 2023 Our paper aims to study the geometry of submanifolds of an almost-complex metallic manifold. We give an example of this type of manifold, and reveal the fundamental properties of structure induced on submanifolds.
Ayşe Torun, Mustafa Özkan
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An Algebraic Inequality with Applications to Certain Chen Inequalities
Axioms, 2021 We give a simple proof of the Chen inequality for the Chen invariant δ(2,…,2)︸k terms of submanifolds in Riemannian space forms.
Ion Mihai, Radu-Ioan Mihai
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The (α,p)-Golden Metric Manifolds and Their Submanifolds
Mathematics, 2023 The notion of a golden structure was introduced 15 years ago by the present authors and has been a constant interest of several geometers. Now, we propose a new generalization apart from that called the metallic structure, which is also considered by the
Cristina E. Hretcanu, Mircea Crasmareanu
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Contact-Complex Riemannian Submersions
Mathematics, 2021 A submersion from an almost contact Riemannian manifold to an almost Hermitian manifold, acting on the horizontal distribution by preserving both the metric and the structure, is, roughly speaking a contact-complex Riemannian submersion. This paper deals
Cornelia-Livia Bejan +2 more
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Automorphisms of Submanifolds [PDF]
Advances in Difference Equations, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Veronika Chrastinová +1 more
openaire +3 more sources
Infinitesimal variations of submanifolds [PDF]
Ensaios Matemáticos, 2020 This paper deals with the subject of infinitesimal variations of Euclidean submanifolds with arbitrary dimension and codimension. The main goal is to establish a Fundamental theorem for these geometric objects. Similar to the theory of isometric immersions in Euclidean space, we prove that a system of three equations for a certain pair of tensors are ...
Marcos Dajczer, Miguel Ibieta Jimenez
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Bulletin of the London Mathematical Society, 2006 In what follows we give a quick tour through the field of minimal submanifolds, starting at the definition and the classical results and ending up with current areas of research.
Colding, Tobias H. +1 more
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