Results 1 to 10 of about 63,771 (180)
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
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
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
doaj +1 more source
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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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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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
doaj +1 more source
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
doaj +1 more source
Submanifolds with nonparallel first normal bundle revisited [PDF]
, 2013 In this paper, we analyze the geometric structure of an Euclidean submanifold whose osculating spaces form a nonconstant family of proper subspaces of the same dimension.
Dajczer, Marcos, Tojeiro, Ruy
core +3 more sources
On Totally Contact Umbilical Contact CR-Lightlike Submanifolds Of Indefinite Sasakian Manifolds
Demonstratio Mathematica, 2014 After brief introduction, we prove that a totally contact umbilical CR- lightlike submanifold is totally contact geodesic. We obtain a necessary and sufficient condition for a CR-lightlike submanifold to be an anti-invariant submanifold.
Gogna Manish +2 more
doaj +1 more source
Holomorphic extension of smooth CR-mappings between real-analytic and real-algebraic CR-manifolds [PDF]
, 2001 We establish results on holomorphic extension of CR-mappings of class $C^\infty$ between a real-analytic CR-submanifold of $\C^N$ and a real-algebraic CR-submanifold of $\C^{N'}$
Meylan, F., Mir, N., Zaitsev, D.
core +3 more sources