scholarly journals Exponential localization of Steklov eigenfunctions on warped product manifolds: the flea on the elephant phenomenon

2021 ◽  
Author(s):  
Thierry Daudé ◽  
Bernard Helffer ◽  
François Nicoleau
Keyword(s):  
Warped Product ◽  
Steklov Eigenfunctions ◽  
Exponential Localization

Curvature inequalities for C-totally real doubly warped products of locally conformal almost cosymplectic manifolds

Filomat ◽  
2017 ◽  
Vol 31 (20) ◽  
pp. 6449-6459 ◽  
Author(s):  
Akram Ali ◽  
Siraj Uddin ◽  
Wan Othman ◽  
Cenap Ozel
Keyword(s):  
Sectional Curvature ◽  
Mean Curvature ◽  
Warped Product ◽  
Warped Products ◽  
Equality Case ◽  
Cosymplectic Manifolds ◽  
Almost Cosymplectic Manifold ◽  
Locally Conformal ◽  
Totally Real ◽  
Optimal Inequalities

In this paper, we establish some optimal inequalities for the squared mean curvature in terms warping functions of a C-totally real doubly warped product submanifold of a locally conformal almost cosymplectic manifold with a pointwise ?-sectional curvature c. The equality case in the statement of inequalities is also considered. Moreover, some applications of obtained results are derived.

Pointwise pseudo-slant submanifolds of a Kenmotsu manifold

Filomat ◽  
2017 ◽  
Vol 31 (18) ◽  
pp. 5833-5853 ◽  
Author(s):  
Viqar Khan ◽  
Mohammad Shuaib
Keyword(s):  
Present Article ◽  
Warped Product ◽  
Shape Operator ◽  
Warped Products ◽  
Canonical Structure ◽  
Slant Submanifold ◽  
Kenmotsu Manifold ◽  
Slant Submanifolds ◽  
Kenmotsu Manifolds

In the present article, we have investigated pointwise pseudo-slant submanifolds of Kenmotsu manifolds and have sought conditions under which these submanifolds are warped products. To this end first, it is shown that these submanifolds can not be expressed as non-trivial doubly warped product submanifolds. However, as there exist non-trivial (single) warped product submanifolds of a Kenmotsu manifold, we have worked out characterizations in terms of a canonical structure T and the shape operator under which a pointwise pseudo slant submanifold of a Kenmotsu manifold reduces to a warped product submanifold.

scholarly journals Ricci solitons on singly warped product manifolds and applications

2021 ◽  
Vol 166 ◽  
pp. 104257
Author(s):  
Uday Chand De ◽  
Carlo Alberto Mantica ◽  
Sameh Shenawy ◽  
Bülent Ünal
Keyword(s):  
Warped Product ◽  
Ricci Solitons

On warped product Finsler spaces of Landsberg type

2011 ◽  
Vol 52 (9) ◽  
pp. 093506 ◽  
Author(s):  
Ataabak B. Hushmandi ◽  
Morteza M. Rezaii
Keyword(s):  
Warped Product ◽  
Finsler Spaces

Contact CR-warped product submanifolds in cosymplectic space forms

2010 ◽  
Vol 62 (1) ◽  
pp. 17-26 ◽  
Author(s):  
Mehmet Atçeken
Keyword(s):  
Warped Product ◽  
Space Forms

scholarly journals CR-warped product submanifolds of a generalized complex space form

2017 ◽  
Vol 4 (1) ◽  
pp. 1306153
Author(s):  
Meraj Ali Khan ◽  
Amira A. Ishan ◽  
Hari M. Srivastava
Keyword(s):  
Warped Product ◽  
Complex Space ◽  
Space Form ◽  
Complex Space Form ◽  
Generalized Complex

scholarly journals The gauge dual of a warped product of AdS 4 and a squashed and stretched seven-manifold

2010 ◽  
Vol 27 (3) ◽  
pp. 035009 ◽  
Author(s):  
Changhyun Ahn ◽  
Kyungsung Woo
Keyword(s):  
Warped Product

Exit radii of submanifolds from cylindrical domains in warped product manifolds

2015 ◽  
Vol 145 (3) ◽  
pp. 559-569
Author(s):  
Hironori Kumura
Keyword(s):  
Lower Bound ◽  
Bounded Domain ◽  
Ricci Curvature ◽  
Mean Curvature ◽  
Warped Product ◽  
Product Manifold ◽  
Warped Product Manifold ◽  
Cylindrical Domains ◽  
The Mean

Let UB(p0; ρ1) × f MV be a cylindrically bounded domain in a warped product manifold := MB × fMV and let M be an isometrically immersed submanifold in . The purpose of this paper is to provide explicit radii of the geodesic balls of M which first exit from UB(p0; ρ1) × fMV for the case in which the mean curvature of M is sufficiently small and the lower bound of the Ricci curvature of M does not diverge to –∞ too rapidly at infinity.

scholarly journals Warped product spaces with Ricci conditions

2017 ◽  
Vol 41 ◽  
pp. 1365-1375
Author(s):  
Sang Deok LEE ◽  
Byung Hak KIM ◽  
Jin Hyuk CHOI
Keyword(s):  
Warped Product ◽  
Product Spaces ◽  
Warped Product Spaces
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