Symplectic embeddings into cylinders for certain symplectic manifolds

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Şirikçi N. I.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.2025, ss.1-4, 2025 (SCI-Expanded, Scopus)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 2025
• Basım Tarihi: 2025
• Doi Numarası: 10.15672/hujms.1451185
• Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
• Sayfa Sayıları: ss.1-4
• Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

We present a proof of a nonexistence result for symplectic embeddings of symplectic manifolds satisfying certain conditions into the symplectic cylinder. The proof utilizes an inequality between the displacement energy and the cylindrical capacity for subsets of R²ⁿ to obtain an inequality for bounded subsets of the symplectic manifold. We also state a corollary which utilizes other results on nondisplaceable Lagrangians.