Minimal Kähler submanifolds in product of space forms
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Alcides de Carvalho
Abstract
In this article, we study minimal isometric immersions of Kähler manifolds into product of two real space forms. We analyse the obstruction conditions to the existence of pluriharmonic isometric immersions of a Kähler manifold into those spaces and we prove that the only ones into
Funding source: Fundação de Amparo à Pesquisa do Estado de São Paulo
Award Identifier / Grant number: 2019/177-0
Funding source: Fonds De La Recherche Scientifique - FNRS
Award Identifier / Grant number: G0H4518N
Funding statement: The first author was supported by Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP), grant number 2019/177-0. The second author is partially supported by the Research Foundation-Flanders (FWO) and the Fonds de la Recherche Scientifique (FNRS), under EOS Project G0H4518N.
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Articles in the same Issue
- Frontmatter
- Generalized Cauchy–Riemann equations in non-identity bases with application to the algebrizability of vector fields
- Fractional Sobolev regularity for solutions to a strongly degenerate parabolic equation
- Minimal Kähler submanifolds in product of space forms
- On the number of rational points of certain algebraic varieties over finite fields
- On two conjectures of Sun concerning Apéry-like series
- A note on Hopf’s lemma and strong minimum principle for nonlocal equations with non-standard growth
- Time-step heat problem on the mesh: asymptotic behavior and decay rates
- Varieties of Borel subalgebras for the Jacobson–Witt Lie algebras
- Ramanujan systems of Rankin–Cohen type and hyperbolic triangles
- Skew-braces and 𝑞-braces
- Products of unipotent elements in certain algebras
- On the Fourier orthonormal bases of a class of self-similar measures on ℝ n
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- Restriction estimates in a conical singular space: Schrödinger equation
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Articles in the same Issue
- Frontmatter
- Generalized Cauchy–Riemann equations in non-identity bases with application to the algebrizability of vector fields
- Fractional Sobolev regularity for solutions to a strongly degenerate parabolic equation
- Minimal Kähler submanifolds in product of space forms
- On the number of rational points of certain algebraic varieties over finite fields
- On two conjectures of Sun concerning Apéry-like series
- A note on Hopf’s lemma and strong minimum principle for nonlocal equations with non-standard growth
- Time-step heat problem on the mesh: asymptotic behavior and decay rates
- Varieties of Borel subalgebras for the Jacobson–Witt Lie algebras
- Ramanujan systems of Rankin–Cohen type and hyperbolic triangles
- Skew-braces and 𝑞-braces
- Products of unipotent elements in certain algebras
- On the Fourier orthonormal bases of a class of self-similar measures on ℝ n
- The pentagonal theorem of sixty-three and generalizations of Cauchy’s lemma
- Restriction estimates in a conical singular space: Schrödinger equation
- Fractional integrals associated with Radon transforms
