Ximin Liu (1998)
Annales Polonici Mathematici
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We prove some pinching theorems with respect to the scalar curvature of 4-dimensional conformally flat (concircularly flat, quasi-conformally flat) totally real minimal submanifolds in QP⁴(c).
Sadahiro Maeda, Yasuhiro Shimizu (1982)
Mathematische Zeitschrift
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Qing-ming Cheng (1991)
Mathematische Zeitschrift
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Sebastián Montiel, A. Ros, F. Urbano (1986)
Mathematische Zeitschrift
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Bang-yen Chen, Huei-shyong Lue (1975)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
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Per le varietà indicate nel titolo si dimostra che la curvatura normale scalare non è mai inferiore alla dimensione, l'uguaglianza avendosi se e soltanto se la varietà è localmente una sfera complessa.
Shichang, Shu, Sanyang, Liu (2004)
Balkan Journal of Geometry and its Applications (BJGA)
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Ghazal, Tahsin, Deshmukh, Sharief (1991)
International Journal of Mathematics and Mathematical Sciences
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Gupta, Ram Shankar, Haider, S.M.Khrusheed, Sharfuddin, A. (2006)
Balkan Journal of Geometry and its Applications (BJGA)
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Franki Dillen, Johan Fastenakels (2009)
Open Mathematics
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We show that a Lagrangian submanifold of a complex space form attaining equality in the inequality obtained by Oprea in [8], must be totally geodesic.
Tripathi, Muck Main, Kim, Jean-Sic, Kim, Son-Be (2002)
Balkan Journal of Geometry and its Applications (BJGA)
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Mehmet Bektaş (2004)
Czechoslovak Mathematical Journal
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In this paper, we prove a theorem for -dimensional totally real minimal submanifold immersed in quaternion space form.
Kinetsu Abe (1980)
Mathematische Annalen
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