نتایج جستجو برای: submanifolds

تعداد نتایج: 3570  

2006
JIŘÍ LEBL

A local uniqueness property of holomorphic functions on realanalytic nowhere minimal CR submanifolds of higher codimension is investigated. A sufficient condition called almost minimality is given and studied. A weaker necessary condition, being contained a possibly singular real-analytic Levi-flat hypersurface is studied and characterized. This question is completely resolved for algebraic sub...

Journal: :Tokyo Journal of Mathematics 2023

In this paper, we investigate properties of orbits Hermann actions as submanifolds without assuming the commutability involutions which define actions. particular, compute second fundamental form actions, and give a sufficient condition for to be weakly reflective arid submanifolds.

Journal: :Filomat 2022

In this paper, we study warped products of contact skew-CR submanifolds, called skew CR-warped products. We establish a lower bound relationship between the squared norm second fundamental form and warping function. The equality case inequality is investigated some special cases derived are given. Furthermore, provide non-trivial examples such submanifolds.

Journal: :Geometry & Topology 2021

In this article, we prove a Legendrian Whitney trick which allows for the removal of intersections between codimension-two contact submanifolds and submanifolds, assuming such smooth cancellation is possible. This technique applied to show existence h-principle embeddings with prescribed structure.

2008
Henri Anciaux

Special Lagrangian submanifolds may be defined as those submanifolds which are both Lagrangian (an order 1 condition) and minimal (an order 2 condition). Alternatively, they are characterised as those submanifolds which are calibrated by a certain n-form (cf [HL]), so they have the remarkable property of being area minimizing. Their study have received many attention recently since connections ...

2011
Sung Won Park José M. F. Moura Vijaya Kumar Marios Savvides B. V. K. Vijaya Kumar

The success of multifactor analysis, such asMultilinear Principal Component Analysis (MPCA), results from its ability to decompose the characteristics of each sample vector into multiple parameters associated with multiple factors. MPCA parameterizes each factor based on the average structure of the submanifolds that are created by varying only this factor. This averaging process is based on th...

2008
KOJI MATSUMOTO T. Kashiwada VITTORIA BONANZINGA

Recently, the present authors considered doubly warped product CR-submanifolds in a locally conformal Kaehler manifold and got some inequalities about the length of the second fundamental form ([14]). In this report, we obtain an inequality of the mean curvature of a doubly warped product CR-submanifold in a locally conformal Kaehler space form. Then, we consider the equality case of this inequ...

2000
Sankaran Viswanath

A symmetric space is a Riemannian manifold that is “symmetric” about each of its points: for each p ∈M there is an isometry σp of M such that (σp)∗ = −I on TpM . Symmetric spaces and their local versions were studied and classified by E.Cartan in the 1920’s. In 1980 D.Ferus [F2] introduced the concept of symmetric submanifolds of Euclidean space: A submanifold M of R is a symmetric submanifold ...

2005
Sung Ho Wang

We propose a unified computational framework for the problem of deformation and rigidity of submanifolds in a homogeneous space under geometric constraint. A notion of 1-rigidity of a submanifold under admissible deformations is introduced. It means every admissible deformation of the submanifold osculates a one parameter family of motions up to 1st order. We implement this idea to the question...

Journal: :Social Science Research Network 2022

In this paper, we give global expressions of geodesics and isoparametric functions on a Randers sphere by navigation. We obtain families focal submanifolds in (S^{n}; F; d\mu_{BH}) Cartan-M\"unzner polynomials. Further more, construct some examples closed non-closed geodesics, functions, submanifolds.

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