FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W3199585703> ?p ?o ?g. }

• W3199585703 abstract "This article has three recurrent goals. Firstly, we prove the existence of a wide class of warped product submanifolds possessing a geometrical property; namely, $mathfrak{D_i}$-minimal warped product submanifolds. Secondly, the first Chen inequality is derived for this class of warped products in Riemannian space forms, this inequality involves intrinsic invariants ($delta$-invariant and sectional curvature) controlled by an extrinsic one (the mean curvature vector), which provides an answer for Problem 1. Thirdly, this inequality is applied to derive a necessary condition for the immersed submanifold to be minimal in Riemannian space forms, which presents a partial answer for the well-known problem proposed by S.S. Chern, Problem 2. Also, a concrete example is constructed to insure the existence of $mathfrak{D_i}$-minimal warped product submanifolds for warped products other than $CR$ and contact $CR$-warped product submanifolds. For further research directions, we address a couple of open problems; namely Problem 3 and Problem 4." @default.
• W3199585703 created "2021-09-27" @default.
• W3199585703 creator A5019316826 @default.
• W3199585703 creator A5045017302 @default.
• W3199585703 creator A5075650971 @default.
• W3199585703 date "2021-09-18" @default.
• W3199585703 modified "2023-09-27" @default.
• W3199585703 title "Minimality and The First Chen Inequality for Warped Product Submanifolds of Riemannian Space Form" @default.
• W3199585703 cites W1559405105 @default.
• W3199585703 cites W1572143211 @default.
• W3199585703 cites W1575282860 @default.
• W3199585703 cites W1585306767 @default.
• W3199585703 cites W1972682939 @default.
• W3199585703 cites W1981971346 @default.
• W3199585703 cites W2017388372 @default.
• W3199585703 cites W2031917130 @default.
• W3199585703 cites W2044060118 @default.
• W3199585703 cites W2051983384 @default.
• W3199585703 cites W2062346296 @default.
• W3199585703 cites W2072793777 @default.
• W3199585703 cites W2091349394 @default.
• W3199585703 cites W2333620035 @default.
• W3199585703 cites W2515482065 @default.
• W3199585703 cites W2892572691 @default.
• W3199585703 cites W2962693420 @default.
• W3199585703 cites W2963616497 @default.
• W3199585703 cites W3129766339 @default.
• W3199585703 cites W553345 @default.
• W3199585703 cites W626428211 @default.
• W3199585703 hasPublicationYear "2021" @default.
• W3199585703 type Work @default.
• W3199585703 sameAs 3199585703 @default.
• W3199585703 citedByCount "0" @default.
• W3199585703 crossrefType "posted-content" @default.
• W3199585703 hasAuthorship W3199585703A5019316826 @default.
• W3199585703 hasAuthorship W3199585703A5045017302 @default.
• W3199585703 hasAuthorship W3199585703A5075650971 @default.
• W3199585703 hasConcept C111919701 @default.
• W3199585703 hasConcept C12520029 @default.
• W3199585703 hasConcept C134306372 @default.
• W3199585703 hasConcept C151300846 @default.
• W3199585703 hasConcept C151730666 @default.
• W3199585703 hasConcept C190470478 @default.
• W3199585703 hasConcept C195065555 @default.
• W3199585703 hasConcept C202444582 @default.
• W3199585703 hasConcept C24129628 @default.
• W3199585703 hasConcept C2524010 @default.
• W3199585703 hasConcept C2776085556 @default.
• W3199585703 hasConcept C2776341046 @default.
• W3199585703 hasConcept C2778572836 @default.
• W3199585703 hasConcept C33923547 @default.
• W3199585703 hasConcept C37914503 @default.
• W3199585703 hasConcept C41008148 @default.
• W3199585703 hasConcept C42448751 @default.
• W3199585703 hasConcept C86803240 @default.
• W3199585703 hasConcept C90673727 @default.
• W3199585703 hasConcept C92757383 @default.
• W3199585703 hasConceptScore W3199585703C111919701 @default.
• W3199585703 hasConceptScore W3199585703C12520029 @default.
• W3199585703 hasConceptScore W3199585703C134306372 @default.
• W3199585703 hasConceptScore W3199585703C151300846 @default.
• W3199585703 hasConceptScore W3199585703C151730666 @default.
• W3199585703 hasConceptScore W3199585703C190470478 @default.
• W3199585703 hasConceptScore W3199585703C195065555 @default.
• W3199585703 hasConceptScore W3199585703C202444582 @default.
• W3199585703 hasConceptScore W3199585703C24129628 @default.
• W3199585703 hasConceptScore W3199585703C2524010 @default.
• W3199585703 hasConceptScore W3199585703C2776085556 @default.
• W3199585703 hasConceptScore W3199585703C2776341046 @default.
• W3199585703 hasConceptScore W3199585703C2778572836 @default.
• W3199585703 hasConceptScore W3199585703C33923547 @default.
• W3199585703 hasConceptScore W3199585703C37914503 @default.
• W3199585703 hasConceptScore W3199585703C41008148 @default.
• W3199585703 hasConceptScore W3199585703C42448751 @default.
• W3199585703 hasConceptScore W3199585703C86803240 @default.
• W3199585703 hasConceptScore W3199585703C90673727 @default.
• W3199585703 hasConceptScore W3199585703C92757383 @default.
• W3199585703 hasLocation W31995857031 @default.
• W3199585703 hasOpenAccess W3199585703 @default.
• W3199585703 hasPrimaryLocation W31995857031 @default.
• W3199585703 hasRelatedWork W1598501073 @default.
• W3199585703 hasRelatedWork W2075556480 @default.
• W3199585703 hasRelatedWork W2151121007 @default.
• W3199585703 hasRelatedWork W2344823253 @default.
• W3199585703 hasRelatedWork W2555613349 @default.
• W3199585703 hasRelatedWork W2557631184 @default.
• W3199585703 hasRelatedWork W2568874705 @default.
• W3199585703 hasRelatedWork W2591655363 @default.
• W3199585703 hasRelatedWork W2788098519 @default.
• W3199585703 hasRelatedWork W2994992261 @default.
• W3199585703 hasRelatedWork W3033130580 @default.
• W3199585703 hasRelatedWork W3048281556 @default.
• W3199585703 hasRelatedWork W3105786734 @default.
• W3199585703 hasRelatedWork W3163967591 @default.
• W3199585703 hasRelatedWork W3176924515 @default.
• W3199585703 hasRelatedWork W3177717921 @default.
• W3199585703 hasRelatedWork W3192805920 @default.
• W3199585703 hasRelatedWork W3194387280 @default.
• W3199585703 hasRelatedWork W3198409006 @default.
• W3199585703 hasRelatedWork W3211341241 @default.

• next