Results 1 to 10 of about 431 (82)
Almost complex manifolds with small Nijenhuis tensor
Complex Manifolds, 2021 We give several explicit examples of compact manifolds with a 1-parameter family of almost complex structures having arbitrarily small Nijenhuis tensor in the C0-norm.
Fernandez Luis +2 more
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Geometry of conformal η-Ricci solitons and conformal η-Ricci almost solitons on paracontact geometry
Open Mathematics, 2022 We prove that if an η\eta -Einstein para-Kenmotsu manifold admits a conformal η\eta -Ricci soliton then it is Einstein. Next, we proved that a para-Kenmotsu metric as a conformal η\eta -Ricci soliton is Einstein if its potential vector field VV is ...
Li Yanlin +3 more
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Differential operators on almost-Hermitian manifolds and harmonic forms
Complex Manifolds, 2020 We consider several differential operators on compact almost-complex, almost-Hermitian and almost-Kähler manifolds. We discuss Hodge Theory for these operators and a possible cohomological interpretation.
Tardini Nicoletta, Tomassini Adriano
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Generalized almost even-Clifford manifolds and their twistor spaces
Complex Manifolds, 2021 Motivated by the recent interest in even-Clifford structures and in generalized complex and quaternionic geometries, we introduce the notion of generalized almost even-Clifford structure. We generalize the Arizmendi-Hadfield twistor space construction on
Hernández-Moguel Luis Fernando +1 more
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Estimates for a function on almost Hermitian manifolds
Complex Manifolds, 2021 We study some estimates for a real-valued smooth function φ on almost Hermitian manifolds. In the present paper, we show that ∂∂∂̄ φ and ∂̄∂∂̄ φ can be estimated by the gradient of the function φ.
Kawamura Masaya
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Generalized inequalities on warped product submanifolds in nearly trans-Sasakian manifolds [PDF]
, 2014 In this paper, we study warped product submanifolds of nearly trans-Sasakian manifolds. The non-existence of warped product semi-slant submanifolds of type Nθ×fNT is shown, whereas some characterization and new geometric obstructions are obtained for the
Abdulqader Mustafa, S. Uddin, B. Wong
semanticscholar +1 more source
Almost-complex invariants of families of six-dimensional solvmanifolds
Complex Manifolds, 2022 We compute almost-complex invariants h∂¯p,oh_{\bar \partial }^{p,o}, hDolp,oh_{Dol}^{p,o} and almost-Hermitian invariants hδ¯p,oh_{\bar \delta }^{p,o} on families of almost-Kähler and almost-Hermitian 6-dimensional solvmanifolds.
Tardini Nicoletta, Tomassini Adriano
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Basic inequalities for statistical submanifolds in Golden-like statistical manifolds
Open Mathematics, 2022 In this paper, we introduce and study Golden-like statistical manifolds. We obtain some basic inequalities for curvature invariants of statistical submanifolds in Golden-like statistical manifolds.
Lone Mohamd Saleem +3 more
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Kobayashi—Hitchin correspondence for twisted vector bundles
Complex Manifolds, 2021 We prove the Kobayashi—Hitchin correspondence and the approximate Kobayashi—Hitchin correspondence for twisted holomorphic vector bundles on compact Kähler manifolds.
Perego Arvid
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On Chen invariants and inequalities in quaternionic geometry
, 2013 In this paper we give a survey of main results concerning Chen inequalities for submanifolds in quaternionic space forms and propose some open problems in the field for further research.AMS Subject Classification:53C15, 53C25, 53C40.
G. Vîlcu
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