Relevant bibliographies by topics / Φ -holomorphic sectional curvature

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  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'Φ -holomorphic sectional curvature'

Author: Grafiati
Published: 7 June 2025
Last updated: 2 August 2025

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Journal articles on the topic "Φ -holomorphic sectional curvature"

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Hreţcanu, Cristina Elena, and Valeria Şutu (Cîrlan). "On the Geometry of the Kähler Golden Manifold." Axioms 14, no. 8 (2025): 564. https://doi.org/10.3390/axioms14080564.

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The main objective of this paper is to investigate the properties related to the sectional curvatures of a Kähler golden manifold, an almost Hermitian golden manifold whose almost complex golden structure is parallel with respect to the Levi–Civita connection. Under certain conditions, we prove that a Kähler golden manifold with constant sectional curvature is flat. We introduce the concepts of Φ-holomorphic sectional curvature and Φ-holomorphic bi-sectional curvature on a Kähler golden manifold, and compare them respectively with the holomorphic sectional curvature and holomorphic bi-sectiona
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Abu-Saleem, Ahmad, A. R. Rustanov та S. V. Kharitonova. "AXIOM OF Φ-HOLOMORPHIC (2r+1)-PLANES FOR GENERALIZED KENMOTSU MANIFOLDS". Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika, № 66 (2020): 5–23. http://dx.doi.org/10.17223/19988621/66/1.

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In this paper we study generalized Kenmotsu manifolds (shortly, a GK-manifold) that satisfy the axiom of Φ-holomorphic (2r+1)-planes. After the preliminaries we give the definition of generalized Kenmotsu manifolds and the full structural equation group. Next, we define Φ- holomorphic generalized Kenmotsu manifolds and Φ-paracontact generalized Kenmotsu manifold give a local characteristic of this subclasses. The Φ-holomorphic generalized Kenmotsu manifold coincides with the class of almost contact metric manifolds obtained from closely cosymplectic manifolds by a canonical concircular transfo
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Abood, Habeeb Mtashar, та Farah Al-Hussaini. "Locally Conformal Almost Cosymplectic Manifold of Φ-holomorphic Sectional Conharmonic Curvature Tensor". European Journal of Pure and Applied Mathematics 11, № 3 (2018): 671–81. http://dx.doi.org/10.29020/nybg.ejpam.v11i3.3261.

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The aim of the present paper is to study the geometry of locally conformal almost cosymplectic manifold of Φ-holomorphic sectional conharmonic curvature tensor. In particular, the necessaryand sucient conditions in which that locally conformal almost cosymplectic manifold is a manifold of point constant Φ-holomorphic sectional conharmonic curvature tensor have been found. The relation between the mentioned manifold and the Einstein manifold is determined.
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Kumar, S., and K. K. Dube. "Semi Invariant Submanifolds of a Para Kenmotsu Manifold with Constant \phi Holomorphic Sectional Curvature." Journal of the Tensor Society 2, no. 00 (2008): 7–16. http://dx.doi.org/10.56424/jts.v2i00.9955.

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In this Paper We have studied submanifolds para Kenmostu manifold to be semi-invarient submanifold. In particular case when it is a para Kenmostu space form of constant φ holomorphic sectional curvature
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Sharma, Gaurav, Sangeet Kumar, and Manoj Kumar. "On Lightlike Submersion of Radical Transversal Lightlike Submanifolds of a Kaehler Manifold." ECS Transactions 107, no. 1 (2022): 10069–84. http://dx.doi.org/10.1149/10701.10069ecst.

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The aim of present study is to introduce the idea of a lightlike submersion onto an indefinite almost Hermitian manifold from a radical transversal lightlike submanifold of an indefinite Kaehler manifold. We show that if an indefinite almost Hermitian manifold B admits a lightlike submersion φ : K → B of a radical transversal lightlike submanifold K of an indefinite Kaehler manifold then B must be an indefinite Kaehler manifold. We also establish the relation between the holomorphic sectional and holomorphic bisectional curvature of Κ and B.
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Rustanov, Aligadzhi Rabadanovich, Galina Vasilyevna Teplyakova та Svetlana Vladimirovna Kharitonova. "Nearly trans-Sasakian almost 𝐶(𝜆)-manifolds". Chebyshevskii Sbornik 24, № 5 (2024): 153–66. https://doi.org/10.22405/2226-8383-2023-24-5-153-166.

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The nearly trans-Sasakian manifolds, which are almost 𝐶(𝜆)-manifolds, are considered. On the space of the adjoint G-structure, the components of the Riemannian curvature tensor, the Ricci tensor of the nearly trans-Sasakian manifolds, and the almost 𝐶(𝜆)-manifolds are obtained.Identities are obtained that are satisfied by the Ricci tensor of nearly trans-Sasakian manifolds.It is proved that a Ricci-flat almost 𝐶(𝜆)-manifold is locally equivalent to the product of a Ricciflat K¨ahler manifold and a real line. Identities are obtained that are satisfied by the Ricci tensor of an almost 𝐶(𝜆)-manif
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Jain, Varun, Rachna Rani, Rakesh Kumar, and R. K. Nagaich. "Some characterization theorems on holomorphic sectional curvature of GCR-lightlike submanifolds." International Journal of Geometric Methods in Modern Physics 14, no. 03 (2017): 1750034. http://dx.doi.org/10.1142/s0219887817500347.

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We obtain the expressions for sectional curvature, holomorphic sectional curvature and holomorphic bisectional curvature of a GCR-lightlike submanifold of an indefinite Sasakian manifold and obtain some characterization theorems on holomorphic sectional and holomorphic bisectional curvature.
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Kumar, Sangeet, Rakesh Kumar, and R. K. Nagaich. "Characterization of Holomorphic Bisectional Curvature ofGCR-Lightlike Submanifolds." Advances in Mathematical Physics 2012 (2012): 1–18. http://dx.doi.org/10.1155/2012/356263.

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We obtain the expressions for sectional curvature, holomorphic sectional curvature, and holomorphic bisectional curvature of aGCR-lightlike submanifold of an indefinite Kaehler manifold. We discuss the boundedness of holomorphic sectional curvature ofGCR-lightlike submanifolds of an indefinite complex space form. We establish a condition for aGCR-lightlike submanifold of an indefinite complex space form to be null holomorphically flat. We also obtain some characterization theorems for holomorphic sectional and holomorphic bisectional curvature.
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Sekigawa, Kouei, and Takashi Koda. "Compact Hermitian surfaces of pointwise constant holomorphic sectional curvature." Glasgow Mathematical Journal 37, no. 3 (1995): 343–49. http://dx.doi.org/10.1017/s0017089500031621.

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Let M = (M, J, g) be an almost Hermitian manifold and U(M)the unit tangent bundle of M. Then the holomorphic sectional curvature H = H(x) can be regarded as a differentiable function on U(M). If the function H is constant along each fibre, then M is called a space of pointwise constant holomorphic sectional curvature. Especially, if H is constant on the whole U(M), then M is called a space of constant holomorphic sectional curvature. An almost Hermitian manifold with an integrable almost complex structure is called a Hermitian manifold. A real 4-dimensional Hermitian manifold is called a Hermi
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Ali A. Shihab and Rana H. jasim. "K- constant type Kahler and Nearly Kahler manifolds for conharmonic curvature tensor." Tikrit Journal of Pure Science 21, no. 1 (2023): 107–11. http://dx.doi.org/10.25130/tjps.v21i1.959.

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The constant of permanence conharmonic type kahler and nearly kahler manifold conditions are obtained when the Nearly Kahler manifold is a manifold conharmonic constant type (K). and also proved that M nearly kahler manifold of pointwise constant holomorphic sectional conharmonic (PHKm(X)) – curvature) curvature tensor if the components of holomorphic sectional (HS- curvature) curvature tensor in the adjoint G-structure space that satisfies condition .
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Dissertations / Theses on the topic "Φ -holomorphic sectional curvature"

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Carneiro, Josà Loester SÃ. "Sobre subvariedades totalmente reais." Universidade Federal do CearÃ, 2011. http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=6646.

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Conselho Nacional de Desenvolvimento CientÃfico e TecnolÃgico<br>CoordenaÃÃo de AperfeiÃoamento de Pessoal de NÃvel Superior<br>Subvariedades analÃticas complexas e totalmente reais sÃo duas classes tÃpicas dentre todas as subvariedades de uma variedade quase Hermitiana. Neste trabalho procuramos dar algumas caracterizaÃÃes de subvariedades totalmente reais. AlÃm disso algumas classificaÃÃes de subvariedades totalmente reais em formas espaciais complexas sÃo obtidas.<br>Complex analytic submanifolds and totally real submanifolds are two typical classes among all submanifolds of an almost Hermi
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Ben, Ahmed Ali. "Géométrie et dynamique des structures Hermite-Lorentz." Thesis, Lyon, École normale supérieure, 2013. http://www.theses.fr/2013ENSL0824.

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Dans la veine du programme d'Erlangen de Klein, travaux d'E. Cartan, M. Gromov, et d'autres, ce travail se trouve à cheval, entre la géométrie et les actions de groupes. Le thème global serait de comprendre les groupes d'isométries des variétés pseudo-riemanniennes. Plus précisément, suivant une "conjecture vague" de Gromov, classifier les variétés pseudo-riemanniennes dont le groupe d'isométries agit non-proprement, i.e. que son action ne préserve pas de métrique riemannienne auxiliaire?Plusieurs travaux ont été accomplis dans le cas des métriques lorentziennes (i.e. de signature (- +...+)).
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Tshikunguila, Tshikuna-Matamba. "The differential geometry of the fibres of an almost contract metric submersion." Thesis, 2013. http://hdl.handle.net/10500/18622.

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Almost contact metric submersions constitute a class of Riemannian submersions whose total space is an almost contact metric manifold. Regarding the base space, two types are studied. Submersions of type I are those whose base space is an almost contact metric manifold while, when the base space is an almost Hermitian manifold, then the submersion is said to be of type II. After recalling the known notions and fundamental properties to be used in the sequel, relationships between the structure of the fibres with that of the total space are established. When the fibres are almost Hermiti
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Book chapters on the topic "Φ -holomorphic sectional curvature"

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Diverio, Simone. "Quasi-Negative Holomorphic Sectional Curvature and Ampleness of the Canonical Class." In Complex and Symplectic Geometry. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-62914-8_5.

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Conference papers on the topic "Φ -holomorphic sectional curvature"

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VIDEV, VESELIN. "CHARACTERIZATION OF FOUR-DIMENSIONAL ALMOST HERMITIAN MANIFOLD USING CHARACTERISTIC COEFFICIENFS OF JACOBI OPERATOR." In INTERNATIONAL SCIENTIFIC CONFERENCE MATHTECH 2024. Konstantin Preslavsky University Press, 2024. https://doi.org/10.46687/rzgf6514.

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In this paper we characterize some classes of almost Hermitian manifolds (M,g,J) for which at any point pМ the characteristically coefficient of Jacobi operators RX and RJX coincide. We prove that these are AH3–manifold or AH3–manifold of constant holomorphic sectional curvature or generalized complex space forms.
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Journal articles
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