He stared at me fixedly.    From Wordnet, Princeton University. 

Adjective : a fixed stare. ,a fixed buoy; a fixed line of defense. ,a fixed purpose. ,Christmas is a fixed holiday, but Easter is not. ,a fixed horse race. ,a fixed oil.    From Dictionary.com. 

It seems that "fixed around" is not defined as fixedly as I'd thought.    From Wordnik.com.  [Archive 2005-06-01] Reference

There he turned, and looked fixedly at his mother.    From Wordnik.com.  [A True Friend A Novel] Reference

Again we looked full and fixedly each at the other.    From Wordnik.com.  [Ainslee's, Vol. 15, No. 6, July 1905] Reference

It was Lucile's turn to regard the heavens fixedly.    From Wordnik.com.  [Lucile Triumphant] Reference

M. Dantès resumed, looking at her fixedly the while.    From Wordnik.com.  [Edmond Dantès] Reference

"I understand," she said, looking at the girl fixedly.    From Wordnik.com.  [Madeline Payne, the Detective's Daughter] Reference

He left her standing there, staring after him fixedly.    From Wordnik.com.  [Juggernaut] Reference

He sat looking fixedly at the aviator as if fascinated.    From Wordnik.com.  [Dave Dashaway and His Hydroplane] Reference

"May I ask, Monsieur l'Abbe, why you look at me so fixedly?".    From Wordnik.com.  [The French Immortals Series — Complete] Reference

Bewilderment grew in the blue eyes regarding her so fixedly.    From Wordnik.com.  [Judith of the Cumberlands] Reference

"Pray, Meta speak to her, and don't gaze at her so fixedly.".    From Wordnik.com.  [Yr Ynys Unyg The Lonely Island] Reference

He pauses and gazes fixedly at a large map of Western Canada.    From Wordnik.com.  [The Masques of Ottawa] Reference

The woman looked fixedly at me for some time without speaking.    From Wordnik.com.  [The International Monthly Magazine, Volume 5, No. 1, January, 1852] Reference

"A compass!" exclaimed the Baron, gazing fixedly at the artist.    From Wordnik.com.  [The French Immortals Series — Complete] Reference

'Ye'll ken my sister?' replied Ringan, gazing fixedly at the fire.    From Wordnik.com.  [Border Ghost Stories] Reference

Mrs. Maria stared fixedly at her, once in awhile tossing her horns.    From Wordnik.com.  [The Gentle Art of Cooking Wives] Reference

"De Thou," said he, looking fixedly at him, "retire; you disturb me.".    From Wordnik.com.  [The French Immortals Series — Complete] Reference

His eyes and expression were inscrutable as he gazed fixedly at Myra.    From Wordnik.com.  [Bandit Love] Reference

Flibbertigibbet was gazing fixedly at this apparition and made no reply.    From Wordnik.com.  [Flamsted quarries] Reference

All the same, she rather wondered why Mark looked at her so very fixedly.    From Wordnik.com.  [The Slave of Silence] Reference

He simply stared at her fixedly with that peculiar expression on his face.    From Wordnik.com.  [Americans All Stories of American Life of To-Day] Reference

Then he sat looking fixedly at it, as if he was studying some hard problem.    From Wordnik.com.  [Dave Dashaway and His Hydroplane] Reference

I responded, staring fixedly at them without blinking until they backed away.    From Wordnik.com.  [Caffeine killer? Never! The Starbucks defense] Reference

He lighted this and the man came forward, looked fixedly in his face and said.    From Wordnik.com.  [The Hilltop Boys A Story of School Life] Reference

He looked at me, fixedly, as if he were trying to make out what sort of man I was.    From Wordnik.com.  [The Beetle] Reference

His eyes caught hers, and the expression on her face made him stare fixedly at her.    From Wordnik.com.  [Juggernaut] Reference

She looked fixedly at him a moment without catching the eyes he kept turned from her.    From Wordnik.com.  [The French Immortals Series — Complete] Reference

He strode up to Angela and stopped within a foot of her, gazing fixedly into her eyes.    From Wordnik.com.  [Colorado Jim] Reference

Caterina had been gazing fixedly at the Archbishop while he spoke, trying to understand.    From Wordnik.com.  [The Royal Pawn of Venice A Romance of Cyprus] Reference

Travis looked fixedly at the ceiling and recited portions of the Episcopal burial service.    From Wordnik.com.  [The Bishop of Cottontown A Story of the Southern Cotton Mills] Reference

Binks leaned on his spade, and, resting, stared fixedly up into the face of the boy-speaker.    From Wordnik.com.  [The Captain's Bunk A Story for Boys] Reference

He held up his hand for attention, although the prisoners were already watching him fixedly.    From Wordnik.com.  [The Status Civilization] Reference

"Who is this knave?" he asked at length, fixedly regarding the erstwhile badge of his defeat.    From Wordnik.com.  [Under the Rose] Reference

She's smiling a little fixedly, the way most of us do in pictures unless we're taken by surprise.    From Wordnik.com.  [We Are Here For Andrea] Reference

He seemed suddenly to rein himself in for a second or two, during which he glared at her fixedly.    From Wordnik.com.  [Juggernaut] Reference

She looked at the Prince fixedly, and added, in her clear commanding voice, with a shade of gayety.    From Wordnik.com.  [The French Immortals Series — Complete] Reference

But I held his gaze, and we looked each at the other fixedly for, it must have been, full a minute.    From Wordnik.com.  [Ainslee's, Vol. 15, No. 6, July 1905] Reference

Then, without moving his head, he turned his little greyish eyes upon her and regarded her fixedly.    From Wordnik.com.  [Juggernaut] Reference