Rigidity of Minimal Legendrian Submanifolds in Sasakian Space Forms
Journal of MathematicsThis paper is concerned with the study on rigidity of minimal Legendrian submanifolds in Sasakian space forms under some certain geometric conditions, motivated by the classification of minimal Legendrian submanifolds with constant sectional curvature ...
Dehe Li, Sicheng Li
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ϕ-semisymmetric generalized Sasakian space-forms
Arab Journal of Mathematical Sciences, 2015 The object of the present paper is to study ϕ-Weyl semisymmetric and ϕ-projectively semisymmetric generalized Sasakian space-forms. Finally, illustrative examples are given.
U.C. De, Pradip Majhi
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The local moduli of Sasakian 3-manifolds [PDF]
International Journal of Mathematics and Mathematical Sciences, 2002 The Newman-Penrose-Perjes formalism is applied to Sasakian 3-manifolds and the local form of the metric and contact structure is presented. The local moduli space can be parameterised by a single function of two variables and it is shown that, given ...
Brendan S. Guilfoyle
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Generalized Sasakian Space Forms and Conformal Changes of the Metric
Results in Mathematics, 2011 The study of generalized Sasakian space forms is continued in this paper. The behavior of such spaces under generalized D-conformal deformations is analyzed. As a consequence, new examples of generalized Sasakian space forms are given.
Pablo Alegre +2 more
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Bounds for Eigenvalues of q-Laplacian on Contact Submanifolds of Sasakian Space Forms [PDF]
Mathematics, 2023 This study establishes new upper bounds for the mean curvature and constant sectional curvature on Riemannian manifolds for the first positive eigenvalue of the q-Laplacian.
Yanlin Li +4 more
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Pinching Results for Submanifolds in Lorentzian–Sasakian Manifolds Endowed with a Semi-Symmetric Non-Metric Connection [PDF]
MathematicsWe establish an improved Chen inequality involving scalar curvature and mean curvature and geometric inequalities for Casorati curvatures, on slant submanifolds in a Lorentzian–Sasakian space form endowed with a semi-symmetric non-metric connection. Also,
Mohammed Mohammed +2 more
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Biharmonic hypersurfaces in Sasakian space forms [PDF]
Differential Geometry and its Applications, 2009 Biharmonic maps \(\phi: (M, g)\longrightarrow (N, h)\) between Riemannian manifolds are the critical points of the bienergy function \[ E_{2}(\phi) = \tfrac{1}{2}\int_{M}|\tau(\phi)|^{2}\nu_{g}, \] where \(\tau(\phi)\) is the tension field of \(\phi\) and \(\nu_{g}\) denotes the volume form. The vanishing of the tension field characterizes the harmonic
Fetcu, D., Oniciuc, C.
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SOME RESULTS ON A GENERALIZED SASAKIAN-SPACE-FORM ADMITTING TRANS-SASAKIAN STRUCTURE WITH RESPECT TO A GENERALIZED TANAKA WEBSTER OKUMURA CONNECTION [PDF]
Romanian Journal of Mathematics and Computer Science, 2015 The object of the present paper is to study generalized Sasakian-spaceforms admitting trans-Sasakian structure with respect to a generalized Tanaka Webster Okumura connection. Locally \phi-symmetric as well as \eta- recurrent generalized Sasakian space-
ALI AKBAR, AVIJIT SARKAR
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New examples of generalized Sasakian-space-forms [PDF]
, 2015 Plan Andaluz de Investigación (Junta de Andalucía)
Carriazo, Alfonso +3 more
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η-Einstein Sasakian immersions in non-compact Sasakian space forms [PDF]
Annali di Matematica Pura ed Applicata (1923 -), 2020 The aim of this paper is to study Sasakian immersions of (non-compact) complete regular Sasakian manifolds into the Heisenberg group and into $ \mathbb{B}^N\times \mathbb{R}$ equipped with their standard Sasakian structures. We obtain a complete classification of such manifolds in the $η$-Einstein case.
Gianluca Bande +2 more
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